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arXiv · 2006.15076

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

S. A. M. Mohsenialhosseini
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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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S. A. M. Mohsenialhosseini. 2020-06-23. Approximate fixed point theorems of cyclical contraction mapping on G-metric spaces. https://arxiv.org/abs/2006.15076

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