A fixed point theorem for (μ, ψ)-generalized ƒ-weakly contractive mappings in partially ordered 2-metric spaces

The purpose of this paper is to introduce the notion of a (μ, ψ)-generalized f-weakly contractive mapping in partially ordered 2-metric spaces and state a fixed point theorem for this mapping in complete, partially ordered 2-metric spaces. The main results of this paper are generalizations of the ma...

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Bibliographic Details
Published inMathematica Moravica Vol. 21; no. 1; pp. 37 - 50
Main Authors Hieu, Trung, Cam, Ngoc
Format Journal Article
LanguageEnglish
Published University of Kragujevac, Faculty of Technical Sciences Čačak 2017
Subjects
(μ, ψ)-generalized ƒ-weakly contractive mapping
2-metric space
fixed point
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Summary:The purpose of this paper is to introduce the notion of a (μ, ψ)-generalized f-weakly contractive mapping in partially ordered 2-metric spaces and state a fixed point theorem for this mapping in complete, partially ordered 2-metric spaces. The main results of this paper are generalizations of the main results of [4, 10]. Also, some examples are given to illustrate the obtained results.
ISSN:1450-5932
2560-5542
DOI:10.5937/MatMor1701037H