Fahad Jahangeer
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Fahad Jahangeer has a total of 15 co-authors. Here are the top co-authors by number of shared publications:
- Umar Ishtiaq
Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, Pakistan
7 shared publications - Ioan-Lucian Popa
Department of Computing, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, Alba Iulia, Romania
3 shared publications - Doha A. Kattan
Department of Mathematics, College of Sciences and Art, King Abdulaziz University, Rabigh, Saudi Arabia
2 shared publications - Tayyab Kamran
Department of Mathematics Quaid-i-Azam University Islamabad Pakistan qau.edu.pk
2 shared publications - Ioannis Konstantinos Argyros
Department of Computing and Mathematics Sciences, Cameron University, Lawton, USA
1 shared publication - Iqra Shereen
Department of Mathematics Quaid-i-Azam University Islamabad Pakistan
1 shared publication
Latest Publications
- Open Access
- 27 March 2026
- Published by AccScience Publishing in An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
- Vol. 16 (2) , 689
Fixed point results for generalized rectangular fuzzy b-metric-like spaces and applications
This paper introduces a new extended rectangular fuzzy b-metric-like space that generalizes the existing frameworks of the extended rectangular and fuzzy b-metric spaces. Within this setting, we establish several fixed-point theorems for Ciric-type and Banach-type contractions, accompanied by a series of corollaries, propositions, and conditions that further illustrate the proposed concept. These results unify and extend many known theorems in fuzzy metric theory. Moreover, we provided several non-trivial examples to validate of the main results. A flow diagram was provided to demonstrate the generalized structure. Additionally, we applied the fuzzy integral equation to establish the uniqueness and existence of our main result.
- 27 March 2026
- Published by AccScience Publishing in An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
- Vol. 16 (2) , 689
Open AccessFixed point results for generalized rectangular fuzzy b-metric-like spaces and applications
This paper introduces a new extended rectangular fuzzy b-metric-like space that generalizes the existing frameworks of the extended rectangular and fuzzy b-metric spaces. Within this setting, we establish several fixed-point theorems for Ciric-type and Banach-type contractions, accompanied by a series of corollaries, propositions, and conditions that further illustrate the proposed concept. These results unify and extend many known theorems in fuzzy metric theory. Moreover, we provided several non-trivial examples to validate of the main results. A flow diagram was provided to demonstrate the generalized structure. Additionally, we applied the fuzzy integral equation to establish the uniqueness and existence of our main result.
- Open Access
- 26 February 2026
- Published by AccScience Publishing in An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
- Vol. 16 (2) , 580
On different generalized interpolative proximal-type contractions in metric spaces with applications
In this work, we establish the conditions for ensuring the existence and uniqueness of common best proximity points for non-self-mappings defined on the general metric spaces. A unified theoretical framework is formulated to cover a broad class of contraction mappings. We describe the required conditions on the real-valued functions (ℵ, Φ) : [0,∞) → R and verify that these secure the existence of common best proximity points for (ℵ, Φ)−interpolative contractions in complete metric spaces. The study further extends this concept by examining multiple forms of interpolative proximal-type contractions, such as proximal, Ćirić —Reich—Rus, Kannan, and Hardy-Rogers variants, through the use of the auxiliary functions (ℵ, Φ). Several illustrated examples are included to demonstrate the applicability of our findings. Finally, we conclude with an application involving a nonlinear fractional differential equation, showing that it fully satisfies the assumption of our main result.
- 26 February 2026
- Published by AccScience Publishing in An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
- Vol. 16 (2) , 580
Open AccessOn different generalized interpolative proximal-type contractions in metric spaces with applications
In this work, we establish the conditions for ensuring the existence and uniqueness of common best proximity points for non-self-mappings defined on the general metric spaces. A unified theoretical framework is formulated to cover a broad class of contraction mappings. We describe the required conditions on the real-valued functions (ℵ, Φ) : [0,∞) → R and verify that these secure the existence of common best proximity points for (ℵ, Φ)−interpolative contractions in complete metric spaces. The study further extends this concept by examining multiple forms of interpolative proximal-type contractions, such as proximal, Ćirić —Reich—Rus, Kannan, and Hardy-Rogers variants, through the use of the auxiliary functions (ℵ, Φ). Several illustrated examples are included to demonstrate the applicability of our findings. Finally, we conclude with an application involving a nonlinear fractional differential equation, showing that it fully satisfies the assumption of our main result.
- Open Access
Existence and Uniqueness Results for Fuzzy Bipolar Metric Spaces
In this paper, we present the concept of -iterativemappings in the setting of fuzzy bipolar metric space. The symmetric property in fuzzy bipolar metric spaces guarantees that the distance between any two elements remains invariant under permutation, ensuring consistency and uniformity in measurement regardless of the order in which the elements are considered. Furthermore, we prove several best proximity point results by utilizing -fuzzy bipolar proximal contraction, -Reich–Rus–Ciric type proximal contraction, -Kannan type proximal contraction and -Hardy–Rogers type contraction. Furthermore, we provide some non-trivial examples to show the comparison with the existing results in the literature. At the end, we present an application to find the existence and uniqueness of a solution of an integral equation by applying the main result.Open AccessExistence and Uniqueness Results for Fuzzy Bipolar Metric Spaces
In this paper, we present the concept of -iterativemappings in the setting of fuzzy bipolar metric space. The symmetric property in fuzzy bipolar metric spaces guarantees that the distance between any two elements remains invariant under permutation, ensuring consistency and uniformity in measurement regardless of the order in which the elements are considered. Furthermore, we prove several best proximity point results by utilizing -fuzzy bipolar proximal contraction, -Reich–Rus–Ciric type proximal contraction, -Kannan type proximal contraction and -Hardy–Rogers type contraction. Furthermore, we provide some non-trivial examples to show the comparison with the existing results in the literature. At the end, we present an application to find the existence and uniqueness of a solution of an integral equation by applying the main result. - Open Access
Existence and Uniqueness of a Solution of a Boundary Value Problem Used in Chemical Sciences via a Fixed Point Approach
In this paper, we present Proinov-type fixed point theorems in the setting of bi-polar metric spaces and fuzzy bi-polar metric spaces. Fuzzy bi-polar metric spaces with symmetric property extend classical metric spaces to address dual structures and uncertainty, ensuring consistency and balance. We provide different concrete conditions on the real-valued functions for the existence of fixed points via the -contraction in bi-polar metric spaces. Further, we define real-valued functions to obtain fixed point theorems in fuzzy bi-polar metric spaces. We apply fuzzy bi-polar version of a Banach fixed point theorem to show the existence of solutions. Furthermore, we provide some non-trivial examples to show the validity of our results. In the end, we find the existence and uniqueness of a solution of integral equations and boundary value problem used in chemical sciences by applying main results.Open AccessExistence and Uniqueness of a Solution of a Boundary Value Problem Used in Chemical Sciences via a Fixed Point Approach
In this paper, we present Proinov-type fixed point theorems in the setting of bi-polar metric spaces and fuzzy bi-polar metric spaces. Fuzzy bi-polar metric spaces with symmetric property extend classical metric spaces to address dual structures and uncertainty, ensuring consistency and balance. We provide different concrete conditions on the real-valued functions for the existence of fixed points via the -contraction in bi-polar metric spaces. Further, we define real-valued functions to obtain fixed point theorems in fuzzy bi-polar metric spaces. We apply fuzzy bi-polar version of a Banach fixed point theorem to show the existence of solutions. Furthermore, we provide some non-trivial examples to show the validity of our results. In the end, we find the existence and uniqueness of a solution of integral equations and boundary value problem used in chemical sciences by applying main results. - Open Access
- 19 October 2023
- Published by MDPI AG in Fractal and Fractional
- Vol. 7 (10) , 766
Certain Interpolative Proximal Contractions, Best Proximity Point Theorems in Bipolar Metric Spaces with Applications
In this manuscript, we present several types of interpolative proximal contraction mappings including Reich–Rus–Ciric-type interpolative-type contractions and Kannan-type interpolative-type contractions in the setting of bipolar metric spaces. Further, taking into account the aforementioned mappings, we prove best proximity point results. These results are an extension and generalization of existing ones in the literature. Furthermore, we provide several nontrivial examples, an application to find the solution of an integral equation, and a nonlinear fractional differential equation to show the validity of the main results.
- 19 October 2023
- Published by MDPI AG in Fractal and Fractional
- Vol. 7 (10) , 766
Open AccessCertain Interpolative Proximal Contractions, Best Proximity Point Theorems in Bipolar Metric Spaces with Applications
In this manuscript, we present several types of interpolative proximal contraction mappings including Reich–Rus–Ciric-type interpolative-type contractions and Kannan-type interpolative-type contractions in the setting of bipolar metric spaces. Further, taking into account the aforementioned mappings, we prove best proximity point results. These results are an extension and generalization of existing ones in the literature. Furthermore, we provide several nontrivial examples, an application to find the solution of an integral equation, and a nonlinear fractional differential equation to show the validity of the main results.
- Open Access
Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application
The symmetry of fuzzy metric spaces has benefits for flexibility, ambiguity tolerance, resilience, compatibility, and applicability. They provide a more comprehensive description of similarity and offer a solid framework for working with ambiguous and imprecise data. We give fuzzy versions of some celebrated iterative mappings. Further, we provide different concrete conditions on the real valued functions for the existence of the best proximity point of generalized fuzzy -iterative mappings in the setting of fuzzy metric space. Furthermore, we utilize fuzzy versions of -proximal contraction, -interpolative Reich–Rus–Ciric-type proximal contractions, -Kannan type proximal contraction and -interpolative Hardy Roger’s type proximal contraction to examine the common best proximity points in fuzzy metric space. Also, we establish several non-trivial examples and an application to support our results.Open AccessGeneralized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application
The symmetry of fuzzy metric spaces has benefits for flexibility, ambiguity tolerance, resilience, compatibility, and applicability. They provide a more comprehensive description of similarity and offer a solid framework for working with ambiguous and imprecise data. We give fuzzy versions of some celebrated iterative mappings. Further, we provide different concrete conditions on the real valued functions for the existence of the best proximity point of generalized fuzzy -iterative mappings in the setting of fuzzy metric space. Furthermore, we utilize fuzzy versions of -proximal contraction, -interpolative Reich–Rus–Ciric-type proximal contractions, -Kannan type proximal contraction and -interpolative Hardy Roger’s type proximal contraction to examine the common best proximity points in fuzzy metric space. Also, we establish several non-trivial examples and an application to support our results. - Open Access
Development of Fixed Point Results for αΓ-F-Fuzzy Contraction Mappings with Applications
This manuscript contains several fixed point results for -F-fuzzy contractive mappings in the framework of orthogonal fuzzy metric spaces. The symmetric property guarantees that the distance function is consistent and does not favour any one direction in orthogonal fuzzy metric spaces. No matter how the points are arranged, it enables a fair assessment of the separations between all of them. In fixed point results, the symmetry condition is preserved for several types of contractive self-mappings. Moreover, we provide several non-trivial examples to show the validity of our main results. Furthermore, we solve non-linear fractional differential equations, the Atangana–Baleanu fractional integral operator and Fredholm integral equations by utilizing our main results.Open AccessDevelopment of Fixed Point Results for αΓ-F-Fuzzy Contraction Mappings with Applications
This manuscript contains several fixed point results for -F-fuzzy contractive mappings in the framework of orthogonal fuzzy metric spaces. The symmetric property guarantees that the distance function is consistent and does not favour any one direction in orthogonal fuzzy metric spaces. No matter how the points are arranged, it enables a fair assessment of the separations between all of them. In fixed point results, the symmetry condition is preserved for several types of contractive self-mappings. Moreover, we provide several non-trivial examples to show the validity of our main results. Furthermore, we solve non-linear fractional differential equations, the Atangana–Baleanu fractional integral operator and Fredholm integral equations by utilizing our main results.