Discussion on the Fixed Point Problems With Constraint Inequalities

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Date

2018

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Springeropen

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GOLD

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Yes

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Abstract

In this paper, we introduce the concept of comparable complete metric spaces and consider some fixed point theorems for mappings in the setting of incomplete metric spaces. We obtain the results of Ansari et al. [J. Fixed Point Theory Appl. 20:26, 2018] with weaker conditions. Moreover, we provide some corollaries and examples show that our main result is a generalization of existing results in the literature.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Lashkaripour, Rahmatollah/0000-0002-3330-1411

Keywords

Comparable metric space, Fixed point, Generalized alpha-h-phi-contractions, Constraint inequalities, Research, QA1-939, Fixed point, Constraint inequalities, Comparable metric space, Generalized α-h-ϕ-contractions, Mathematics, comparable metric space, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, constraint inequalities, Fixed-point theorems, fixed point, generalized \(\alpha\)-\(h\)-\(\varphi\)-contractions, Complete metric spaces, Special maps on metric spaces

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0101 mathematics, 01 natural sciences

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1

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Journal of Inequalities and Applications

Volume

2018

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