New Geraghty type contractions on metric-like spaces

Aydi, Hassen; Felhi, Abdelbasset; Afshari, Hojjat

doi:10.22436/jnsa.010.02.38

Cited by 24 publications

(20 citation statements)

References 5 publications

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“…Recently, Aydi et al [21] introduced a type of Geraghty contraction in metric-like spaces and proved a fixed point theorem about such contraction as follows: Theorem 11. Let ( , ) be a complete metric-like space and :…”

Section: Example Letmentioning

confidence: 99%

Two New Geraghty Type Contractions in Gb-Metric Spaces

Wang

Chen

2019

Journal of Function Spaces

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Section: Example Letmentioning

confidence: 99%

Two New Geraghty Type Contractions in Gb-Metric Spaces

Wang

Chen

2019

Journal of Function Spaces

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“…Recently, Hussain et al [17] examined topological structure of this space and presented some fixed point results in b-metric-like space. A lot of results on fixed points of mappings via certain contractive conditions in mention spaces have been done (for example, see [18][19][20][21][22][23][24]).…”

Section: Introductionmentioning

confidence: 99%

Generalized Contractive Mappings and Related Results in b-Metric Like Spaces with an Application

Hammad

Sen

2019

Symmetry

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In this article, a general contractive mapping is presented and some fixed point results in complete b-metric-like spaces are studied. The results obtained here extend and improve some related results in the literature. Also, new common fixed point results for a graphic contraction mappings are proved. Some comparative examples are given to support the obtained results. Moreover, an analytical solution of an integral equation has been presented as an application.

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“…This interesting subject has been mediated by certain authors, for example, see References [6][7][8]. In partial metric spaces and partially ordered metric-like spaces, the usual contractive condition is weakened and many researchers apply their results to problems of existence and uniqueness of solutions for some boundary value problems of differential and Integral equations, for example, see References [9][10][11][12][13][14][15][16][17][18][19][20][21][22] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces

Qawaqneh

Noorani

Shatanawi

et al. 2018

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The aim of this paper is to establish the existence of some common fixed point results for generalized Geraghty ( α , ψ , ϕ ) -quasi contraction self-mapping in partially ordered metric-like spaces. We display an example and an application to show the superiority of our results. The obtained results progress some well-known fixed (common fixed) point results in the literature. Our main results cannot be specifically attained from the corresponding metric space versions. This paper is scientifically novel because we take Geraghty contraction self-mapping in partially ordered metric-like spaces via α − admissible mapping. This opens the door to other possible fixed (common fixed) point results for non-self-mapping and in other generalizing metric spaces.

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New Geraghty type contractions on metric-like spaces

Cited by 24 publications

References 5 publications

Two New Geraghty Type Contractions in Gb-Metric Spaces

Two New Geraghty Type Contractions in Gb-Metric Spaces

Generalized Contractive Mappings and Related Results in b-Metric Like Spaces with an Application

Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces

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