Some fixed point theorems for (α, ψ)-rational type contractive mappings

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Date

2015

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Publisher

Springer international Publishing Ag

Open Access Color

GOLD

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No

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Abstract

In this paper, we introduce the concept of (alpha, psi)-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in the setting of generalized metric spaces. We also deduce several interesting corollaries.

Description

Alsulami, Hamed Hamdan/0000-0001-5188-2830; ERHAN, INCI M./0000-0001-6042-3695; Taoudi, Mohamed Aziz/0000-0002-8851-8714; CHANDOK, SUMIT/0000-0003-1928-2952

Keywords

fixed point, alpha-admissible, contraction mappings, metric space, Artificial intelligence, Class (philosophy), Metric (unit), Economics, Mathematical analysis, Fixed Point Theorems in Metric Spaces, FOS: Mathematics, Differential geometry, Biology, Ecology, Fixed Point Theorems, Applied Mathematics, Pure mathematics, Fixed point, Discrete mathematics, Generalized Contractions, Computer science, Operations management, Contractive Mappings, FOS: Biological sciences, Physical Sciences, Geometry and Topology, Uniqueness, Metric space, Type (biology), Mathematics, \(\alpha\)-admissible, Complete metric spaces, Special maps on metric spaces, Fixed-point and coincidence theorems (topological aspects), metric space, fixed point, contraction mappings

Fields of Science

0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, 0101 mathematics

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Scopus Q

Q2
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OpenCitations Citation Count
9

Source

Fixed Point Theory and Applications

Volume

2015

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CrossRef : 8

Scopus : 18

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Mendeley Readers : 8

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