Common Fixed Points for Single-Valued and Multi-Valued Maps Satisfying a Generalized Contraction in -Metric Spaces

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Abstract

In this article, we establish some common fixed point theorems for a hybrid pair {} of single valued and multi-valued maps satisfying a generalized contractive condition defined on -metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. 54H25; 47H10; 54E50.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; tahat, nedal/0000-0003-4396-8823; , Hassen/0000-0003-3896-3809; Shatanawi, Wasfi/0000-0001-7492-4933

Keywords

multi-valued mappings, common fixed point, weakly compatible mappings, generalized contraction, Cone Metric Spaces, Mathematical analysis, Biochemistry, Gene, Fixed Point Theorems in Metric Spaces, FOS: Mathematics, Differential geometry, Product metric, Complement (music), Internal medicine, Complementation, Fixed Point Theorems, Applied Mathematics, Pure mathematics, Fixed point, Discrete mathematics, Generalized Contractions, Multi-valued Mappings, Chemistry, Phenotype, Contractive Mappings, Physical Sciences, Contraction (grammar), Medicine, Geometry and Topology, Metric space, Mathematics, weakly compatible mappings, Fixed-point theorems, generalized contraction, Complete metric spaces, Fixed-point and coincidence theorems (topological aspects), multi-valued mappings, common fixed point

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01 natural sciences, 0101 mathematics

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51

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2012

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Scopus : 96

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96

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Web of Science™ Citations

91

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