On <i>α</I>-<i>ψ< Contractive Mappings

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Abstract

In this paper, we introduce the notion of alpha-psi-Meir-Keeler contractive mappings via a triangular alpha-admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC: 46N40, 47H10, 54H25, 46T99.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Kumam, Poom/0000-0002-5463-4581

Keywords

Meir-Keeler contractive mappings, triangular alpha-admissible mappings, fixed points, Triangular α-Admissible Mappings, Algebra over a field, Metric (unit), Economics, Applied Mathematics, Pure mathematics, Fixed point, Discrete mathematics, Generalized Contractions, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Operations management, Contractive Mappings, Physical Sciences, FOS: Mathematics, Differential geometry, Geometry and Topology, Uniqueness, Metric space, Mathematics

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02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics

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131

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2013

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