On Banach contraction principle and Sehgal fixed point theorem in extended b-metric space

Youness El Kouch, Jamal Mouline

Abstract


In this paper, we show that Banach contraction principle and other known fixed point results, in the frame of extended b-metric space, are immediate consequences of the analogous theorems in b-metric space. We establish a more general and extended version of Banach contraction principle, we also prove a Sehgal-Guseman type theorem for mappings with contractive iterate at each point in extended b-metric space.

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Published: 2021-12-02

How to Cite this Article:

Youness El Kouch, Jamal Mouline, On Banach contraction principle and Sehgal fixed point theorem in extended b-metric space, Adv. Fixed Point Theory, 11 (2021), Article ID 20

Copyright © 2021 Youness El Kouch, Jamal Mouline. 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

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