Approximate fixed point theorems of cyclical contraction mapping on G-metric spaces

S.A.M. Mohsenialhosseini

Abstract


This paper introduce a new class of operators and contraction mapping for a cyclical map T on G-metric spaces and the approximately fixed point properties. Also, we prove two general lemmas regarding approximate fixed Point of cyclical contraction mapping on G-metric spaces. Using these results we prove several approximate fixed point theorems for a new class of operators on G-metric spaces (not necessarily complete). These results can be exploited to establish new approximate fixed point theorems for cyclical contraction maps. Further, there is a new class of cyclical operators and contraction mapping on G-metric space (not necessarily complete) which do not need to be continuous. Finally, examples are given to support the usability of our results.

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Published: 2020-08-07

How to Cite this Article:

S.A.M. Mohsenialhosseini, Approximate fixed point theorems of cyclical contraction mapping on G-metric spaces, Adv. Fixed Point Theory, 10 (2020), Article ID 17

Copyright © 2020 S.A.M. Mohsenialhosseini. 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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