Revisiting the Meir-Keeler Contraction Via Simulation Function

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Abstract

In this paper, we aim to obtain a fixed point theorem which guarantee the existence of a fixed point for both the continuous and discontinuous mappings that fullfill certain conditions in the context of metric space. We also consider some examples to illustrate our results.

Description

Kumam, Poom/0000-0002-5463-4581

Keywords

Fixed Point, Metric Space, Meir-Keeler Contraction, Simulation Function, simulation function, fixed point, Fixed-point and coincidence theorems (topological aspects), metric space, Meir-Keeler contraction, Special maps on metric spaces

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Karapınar, Erdal; Fulga, Andreea; Kumam, Poom (2020). "Revisiting the meir-keeler contraction via simulation function", Filomat, Vol. 34, No. 5, pp. 1645-1657.

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2

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34

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5

Start Page

1645

End Page

1657
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Scopus : 3

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2

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