Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation
Authors
-
HNB Garhwal University, Srinagar Garhwal Uttrakhand, India-246174 ,IN
Gopi Prasad -
HNB Garhwal University, Srinagar Garhwal Uttrakhand, India-246174 ,INRamesh Chandra Dimri
DOI:
https://doi.org/10.18311/jims/2018/16383Keywords:
Generalized Metric Space, Modular Spaces, R-continuity, Coincidence Point, Locally g-transitive Binary RelationAbstract
In this paper, we establish coincidence point theorems for contractive mappings, using locally g-transitivity of binary relation in new generalized metric spaces. In the present results, we use some relation theoretic analogues of standard metric notions such as continuity, completeness and regularity. In this way our results extend, modify and generalize some recent fixed point theorems, for instance, Karapinar et al [J. Fixed Point Theory Appl. 18(2016) 645-671], Alam and Imdad [Fixed Point Theory, in press].
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Copyright (c) 2018 Gopi Prasad, Ramesh Chandra Dimri
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2018-03-24
Published 2018-06-01
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