Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
Authors
Abstract:
In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.
similar resources
Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....
full textFixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces
In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered $b$-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.
full textCommon fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions
In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.
full textFixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces
In this paper, we give a fixed point theorem for $(psi,varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.
full textCommon Fixed Points for Expansive Mappings in Cone Metric Spaces
Common fixed point results are obtained for pairs of expansive mappings in cone metric spaces. Thus, various results from metric spaces are extended to this new setting. Mathematics Subject Classification: 47H10, 54H25
full textCommon Fixed Points for Four Mappings in G-Metric Spaces
We prove the unique common fixed point theorems for pairs of weakly compatible mappings satisfying the certain contractive conditions in the setting of generalized metric spaces without exploiting the notion of continuity. Mathematics Subject Classification: Primary 47H10; Secondary 54H25
full textMy Resources
Journal title
volume 06 issue 04
pages 301- 321
publication date 2017-12-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023