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

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Adv. Fixed Point Theory 10 (2020), Article ID 18

Common coupled fixed points of some generalised T-contractions in rectangular b-metric space and application

Reny George, K.P. Reshma

PDF (146.8 KB) https://doi.org/10.28919/afpt/4873

Abstract

Common coupled fixed point theorems for a pair of generalised T-contraction mappings are proved in a rectangular b-metric space which generalize and improve some recent results due to Ramesh and Pitchamani [13] and Gu [2] and some references there in. We have given an application of our main result in establishing the existence and convergence of solution of a system of non linear integral equations under some weaker conditions, which has been properly verified using suitable example.

Published
2 September 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 Reny George, K.P. Reshma. 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

R. George, K. P. Reshma, Common coupled fixed points of some generalised T-contractions in rectangular b-metric space and application, Adv. Fixed Point Theory 10 (2020), 18. https://doi.org/10.28919/afpt/4873

BibTeX
@article{George2020,
  author  = {George, Reny and Reshma, K.P.},
  title   = {Common coupled fixed points of some generalised T-contractions in rectangular b-metric space and application},
  journal = {Adv. Fixed Point Theory},
  volume  = {10},
  year    = {2020},
  pages   = {18},
  doi     = {10.28919/afpt/4873}
}