Abstract
In this work, we first prove a fixed point theorem of Ran and Reur¬ ings type in the framework of Jleli and Samet's generalized metric space endowed with a graph structure. Then, we revisit Ćirić's fixed point theorem for G-quasi-contraction mappings in this setting. In particular, we show that the version of this fixed point theorem given by Jleli and Samet is false. Then we give its correct formulation.
| Original language | English |
|---|---|
| Pages (from-to) | 2269-2279 |
| Number of pages | 11 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 20 |
| Issue number | 11 |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019 Yokohama Publications. All rights reserved.
Keywords
- Fixed point
- Generalized metric
- Quasi-contraction
- Variable exponent spaces
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics