A Remark on "existence and Uniqueness for a Neutral Differential Problem With Unbounded Delay Via Fixed Point Results F-Metric Spaces"

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Date

2019

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Springer-verlag Italia Srl

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Abstract

Very recently, Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) proved some (coupled) fixed point results in this setting for a -.-contractive mappings on the setting of F-metric spaces that was initiated by Jleli and Samet (Fixed Point Theory Appl 2018: 128, 2018). In this note, we underline that the proof of Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) has a gap. We provide two examples to illustrate our observation. We also correct the proof and improved the result by replacing a-admissibility by orbital a-admissibility.

Description

Mitrović, Zoran/0000-0001-9993-9082; Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254;

Keywords

alpha-Admissible mappings, Orbital-alpha-admissible mappings, F-metric space, Fixed point, Fixed-point theorems, fixed point, \(\alpha\)-admissible mappings, orbital-\(\alpha\)-admissible mappings, \({\mathcal{F}}\)-metric, Neutral functional-differential equations

Fields of Science

0101 mathematics, 01 natural sciences

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OpenCitations Citation Count
13

Source

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Volume

113

Issue

4

Start Page

3197

End Page

3206

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CrossRef : 13

Scopus : 16

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16

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13

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6

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