Dariusz Wardowski
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Dariusz Wardowski has a total of 10 co-authors. Here are the top co-authors by number of shared publications:
- Nicolae Adrian Secelean
Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Sibiu, Romania
5 shared publications - Calogero Vetro
Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy
3 shared publications D. Klim
2 shared publications- Nguyen Van Dung
Faculty of Mathematics Teacher Education, Dong Thap University, Cao Lanh, Vietnam
2 shared publications C. Obczyński
1 shared publicationDorota Klim
Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, Łódź 90-238, Poland
1 shared publication
Latest Publications
- Open Access
- 12 July 2024
- Published by Springer Nature in Qualitative Theory of Dynamical Systems
- Vol. 23 (5) , 1-14
Continuity Dependence of Attractors of Iterated Function Systems with Orbital Condition
In the article Secelean and Wardowski (Qual Theory Dyn Syst 21:162, 2022), there were introduced iterated function systems involving certain condition of orbital type. The attractors of such IFSs substantially extend the family of fractal objects investigated so far. In the present work we provide some further properties and give the answer regarding the continuity dependence of this type of attractors with respect to the continuous change of the parameters that describe the maps of the given orbital IFS and the initially chosen compact subset.
- 12 July 2024
- Published by Springer Nature in Qualitative Theory of Dynamical Systems
- Vol. 23 (5) , 1-14
Open AccessContinuity Dependence of Attractors of Iterated Function Systems with Orbital Condition
In the article Secelean and Wardowski (Qual Theory Dyn Syst 21:162, 2022), there were introduced iterated function systems involving certain condition of orbital type. The attractors of such IFSs substantially extend the family of fractal objects investigated so far. In the present work we provide some further properties and give the answer regarding the continuity dependence of this type of attractors with respect to the continuous change of the parameters that describe the maps of the given orbital IFS and the initially chosen compact subset.
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 16 (8) , 2213-2229
Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method
We consider a Dirichlet problem for a system of equations involving Kirchhoff type $ p_i $-Laplacian differential operators and exhibiting gradient dependence in the reaction term (convection). Using the subsolution-supersolution method, we establish the existence of weak solutions into suitable ordered intervals. Following unified approach, we also provide a comparison argument to obtain positive solutions of certain models.
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 16 (8) , 2213-2229
Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method
We consider a Dirichlet problem for a system of equations involving Kirchhoff type $ p_i $-Laplacian differential operators and exhibiting gradient dependence in the reaction term (convection). Using the subsolution-supersolution method, we establish the existence of weak solutions into suitable ordered intervals. Following unified approach, we also provide a comparison argument to obtain positive solutions of certain models.
- Open Access
- 22 November 2022
- Published by Springer Nature in Qualitative Theory of Dynamical Systems
- Vol. 21 (4) , 1-15
On a Certain Class of IFSs and Their Attractors
Our purpose in this paper is to consider a new class of iterated function systems (IFS) based on the concept of orbital condition introduced by Miculescu et al. (Analele Universităţii de Vest Timişoara Seria Matematică-Informatică LVI 2:71–80, 2018). On the given IFS there are imposed some sufficient conditions guaranteeing the existence of an attractor. There are also established some further results which describe the nature of the attractors of the considered type. The introduced theory is supported by some examples of IFSs for which the attractors are also depicted.
- 22 November 2022
- Published by Springer Nature in Qualitative Theory of Dynamical Systems
- Vol. 21 (4) , 1-15
Open AccessOn a Certain Class of IFSs and Their Attractors
Our purpose in this paper is to consider a new class of iterated function systems (IFS) based on the concept of orbital condition introduced by Miculescu et al. (Analele Universităţii de Vest Timişoara Seria Matematică-Informatică LVI 2:71–80, 2018). On the given IFS there are imposed some sufficient conditions guaranteeing the existence of an attractor. There are also established some further results which describe the nature of the attractors of the considered type. The introduced theory is supported by some examples of IFSs for which the attractors are also depicted.
- Open Access
- 30 January 2022
- Published by MDPI AG in Mathematics
- Vol. 10 (3) , 459
The Sehgal’s Fixed Point Result in the Framework of ρ-Space
In this paper, we prove a fixed point theorem of Sehgal type (see Sehgal, V.M., Proc Amer Math Soc 23: 631–634, 1969) in a more general setting of -space (see Secelean, N.A. and Wardowski, D., Results Math, 72: 919–935, 2017). In this way, we can find, as particular cases, some results of Sehgal type in metric, b-metric and rectangular b-metric spaces.- 30 January 2022
- Published by MDPI AG in Mathematics
- Vol. 10 (3) , 459
Open AccessThe Sehgal’s Fixed Point Result in the Framework of ρ-Space
In this paper, we prove a fixed point theorem of Sehgal type (see Sehgal, V.M., Proc Amer Math Soc 23: 631–634, 1969) in a more general setting of -space (see Secelean, N.A. and Wardowski, D., Results Math, 72: 919–935, 2017). In this way, we can find, as particular cases, some results of Sehgal type in metric, b-metric and rectangular b-metric spaces. - Open Access
- 2 June 2021
- Published by SAGE Publications in Asymptotic Analysis
- Vol. 128 (4) , 445-463
Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases
We discuss a third-order differential equation, involving a general form of nonlinearity. We obtain results describing how suitable coefficient functions determine the asymptotic and (non-)oscillatory behavior of solutions. We use comparison technique with first-order differential equations together with the Kusano–Naito’s and Philos’ approaches.
- 2 June 2021
- Published by SAGE Publications in Asymptotic Analysis
- Vol. 128 (4) , 445-463
Open AccessAsymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases
We discuss a third-order differential equation, involving a general form of nonlinearity. We obtain results describing how suitable coefficient functions determine the asymptotic and (non-)oscillatory behavior of solutions. We use comparison technique with first-order differential equations together with the Kusano–Naito’s and Philos’ approaches.
- 4 May 2021
- Published by Springer Nature
- p. 475-503
A General Approach on Picard Operators
- Open Access
- 8 June 2020
- Published by Springer Nature in Journal of Fixed Point Theory and Applications
- Vol. 22 (3) , 1-9
Family of mappings with an equicontractive-type condition
In a real Banach space X and a complete metric space M, we consider a compact mapping C defined on a closed and bounded subset A of X with values in M and the operator $$T:A\times C(A) \rightarrow X$$ . Using a new type of equicontractive condition for a certain family of mappings and $$\beta $$ -condensing operators defined by the Hausdorff measure of noncompactness we prove that the operator $$x\mapsto T(x,C(x))$$ has a fixed point. The obtained results are applied to the initial value problem.- 8 June 2020
- Published by Springer Nature in Journal of Fixed Point Theory and Applications
- Vol. 22 (3) , 1-9
Open AccessFamily of mappings with an equicontractive-type condition
In a real Banach space X and a complete metric space M, we consider a compact mapping C defined on a closed and bounded subset A of X with values in M and the operator $$T:A\times C(A) \rightarrow X$$ . Using a new type of equicontractive condition for a certain family of mappings and $$\beta $$ -condensing operators defined by the Hausdorff measure of noncompactness we prove that the operator $$x\mapsto T(x,C(x))$$ has a fixed point. The obtained results are applied to the initial value problem. - Open Access
- 21 May 2020
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 114 (3) , 1-9
Expansive mappings on bounded sets and their application to rational integral equations
The aim of this paper is to introduce a new condition of expansiveness which extends the class of the known expansive-type mappings in the domain of closed and bounded subsets of a metric space. For the sum of an expansive mapping in a proposed sense defined on a closed convex and bounded subset of a Banach space and a continuous and compact operator, there are proved some fixed point theorems. There are also provided some examples which motivate our research. Moreover, an application to the existence problem of periodic solutions of nonlinear integral equations with a rational part is provided.
- 21 May 2020
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 114 (3) , 1-9
Open AccessExpansive mappings on bounded sets and their application to rational integral equations
The aim of this paper is to introduce a new condition of expansiveness which extends the class of the known expansive-type mappings in the domain of closed and bounded subsets of a metric space. For the sum of an expansive mapping in a proposed sense defined on a closed convex and bounded subset of a Banach space and a continuous and compact operator, there are proved some fixed point theorems. There are also provided some examples which motivate our research. Moreover, an application to the existence problem of periodic solutions of nonlinear integral equations with a rational part is provided.
- 13 July 2019
- Published by Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University in Topological Methods in Nonlinear Analysis
- Vol. 54 (1) , 131-139
Krasnosel'skii-Schaefer type method in the existence problems
- 13 July 2019
- Published by Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University in Topological Methods in Nonlinear Analysis
- Vol. 54 (1) , 131-139
Krasnosel'skii-Schaefer type method in the existence problems
- 28 December 2017
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 146 (4) , 1585-1598
Solving existence problems via $F$-contractions
The main results of the paper concern the existence of fixed points of nonlinear -contraction and the sum of this type of mapping with a compact operator. The results of Krasnosel'skii type are obtained with a usage of the Hausdorff measure of noncompactness and condensing mappings. The presented new tools give the possibility to verify the existence problems of the solutions for some classes of integral equations.
- 28 December 2017
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 146 (4) , 1585-1598
Solving existence problems via $F$-contractions
The main results of the paper concern the existence of fixed points of nonlinear -contraction and the sum of this type of mapping with a compact operator. The results of Krasnosel'skii type are obtained with a usage of the Hausdorff measure of noncompactness and condensing mappings. The presented new tools give the possibility to verify the existence problems of the solutions for some classes of integral equations.