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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 11 (2021), Article ID 17

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

Neeru Yadav, Pawan Kumar, Dharmendra Kumar, Balbir Singh

PDF (325.8 KB) https://doi.org/10.28919/afpt/6100

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.

Published
15 September 2021
Volume
11 (2021)
License
CC BY 3.0

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.

Cite this article

N. Yadav, P. Kumar, D. Kumar, B. Singh, Generalized ψ-weak contraction condition for variants of compatible mappings in G-metric space, Adv. Fixed Point Theory 11 (2021), 17. https://doi.org/10.28919/afpt/6100

BibTeX
@article{Yadav2021,
  author  = {Yadav, Neeru and Kumar, Pawan and Kumar, Dharmendra and Singh, Balbir},
  title   = {Generalized ψ-weak contraction condition for variants of compatible mappings in G-metric space},
  journal = {Adv. Fixed Point Theory},
  volume  = {11},
  year    = {2021},
  pages   = {17},
  doi     = {10.28919/afpt/6100}
}