A New Approach to the Interpolative Contractions
Open Access
Abstract
We propose a refinement in the interpolative approach in fixed-point theory. In particular, using this method, we prove the existence of fixed points and common fixed points for Kannan-type contractions and provide examples to support our results.Keywords
This publication has 6 references indexed in Scilit:
- Set-Valued Interpolative Hardy–Rogers and Set-Valued Reich–Rus–Ćirić-Type Contractions in b-Metric SpacesMathematics, 2019
- New Hybrid Contractions on b-Metric SpacesMathematics, 2019
- ω-Interpolative Ćirić-Reich-Rus-Type ContractionsMathematics, 2019
- Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics2019
- On Interpolative Hardy-Rogers Type ContractionsSymmetry, 2018
- Revisiting the Kannan Type Contractions via InterpolationAdvances in the Theory of Nonlinear Analysis and its Application, 2018