Generalized Meir-Keeler Type Contractions on <i>g</I>-metric Spaces

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Abstract

In this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved.

Description

Mustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Mustafa, Zead/0000-0002-8540-8448; , Hassen/0000-0003-3896-3809

Keywords

Generalized Meir-Keeler type contraction, G-metric space, Fixed point, Meir-Keeler Type Contraction, Generalized, \(G\)-metric space, Fixed-point theorems, generalized Meir-Keeler type contraction, fixed point, Fixed-point and coincidence theorems (topological aspects)

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0101 mathematics, 01 natural sciences

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17

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219

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21

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10441

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10447

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Scopus : 28

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28

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27

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