Abstract
The aim of this paper is to give some fixed point results in generalized metric spaces in Perov’s sense. The generalized metric considered here is the w-distance with a symmetry condition. The operators satisfy a contractive weakly condition of Hardy–Rogers type. The second part of the paper is devoted to the study of the data dependence, the well-posedness, and the Ulam–Hyers stability of the fixed point problem. An example is also given to sustain the presented results.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference37 articles.
1. On Cauchy problem for a system of ordinary differential equations;Perov;Priblizhen. Metody Reshen. Differ. Uravn.,1964
2. Fixed points for multivalued operators on a set endowed with vector-valued metrics and applications;Bucur;Fixed Point Theory,2009
3. Fixed Point Theorems on Spaces Endowed with Vector-Valued Metrics
4. Fixed point theory on spaces with vector-valued metrics and application
5. Continuation Theory for Contractions on Spaces with Two Vector-Valued Metrics
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献