Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation

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Authors

  • HNB Garhwal University, Srinagar Garhwal Uttrakhand, India-246174 ,IN
  • HNB Garhwal University, Srinagar Garhwal Uttrakhand, India-246174 ,IN

DOI:

https://doi.org/10.18311/jims/2018/16383

Keywords:

Generalized Metric Space, Modular Spaces, R-continuity, Coincidence Point, Locally g-transitive Binary Relation
2010 Mathematics Subject Classification, 47H10, 54H25.

Abstract

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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Author Biography

Gopi Prasad, HNB Garhwal University, Srinagar Garhwal Uttrakhand, India-246174

(Ph.D.)Research Scholar

Published

2018-06-01

How to Cite

Prasad, G., & Dimri, R. C. (2018). Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation. The Journal of the Indian Mathematical Society, 85(3-4), 396–410. https://doi.org/10.18311/jims/2018/16383
Received 2017-07-05
Accepted 2018-03-24
Published 2018-06-01

 

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