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

Reny George, K.P. Reshma

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.

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Published: 2020-09-02

How to Cite this Article:

Reny 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), Article ID 18

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.

Advances in Fixed Point Theory

ISSN: 1927-6303

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