Generalized ψ-weak contraction condition for variants of compatible mappings in G-metric space

Neeru Yadav, Pawan Kumar, Dharmendra Kumar, Balbir Singh

Abstract


In this paper first we present generalized ψ-weak contraction condition that contains cubic and quadratic terms of distance function G(x,y,z) and then prove common fixed point theorems for compatible mappings in G-metric space. Secondly, we deal with variants of compatible mappings type (K), type (R) and type (E) in G-metric space. At the end, we provide applications of our results.

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Published: 2021-09-15

How to Cite this Article:

Neeru Yadav, Pawan Kumar, Dharmendra Kumar, Balbir Singh, Generalized ψ-weak contraction condition for variants of compatible mappings in G-metric space, Adv. Fixed Point Theory, 11 (2021), Article ID 17

Copyright © 2021 Neeru Yadav, Pawan Kumar, Dharmendra Kumar, Balbir Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

ISSN: 1927-6303

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