Fixed points and coupled fixed points in partially ordered ν-generalized metric spaces

Mortaza Abtahi

Iran, Islamic Republic of

Damghan University

School of Mathematics and Computer Sciences

Zoran Kadelburg

Serbia

University of Belgrade

Professor, Faculty of Mathematics

Stojan Radenovic

Serbia

University of Belgrade

Faculty of Mechanical Engineering
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Accepted: 2018-04-20

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Published: 2018-10-04

DOI: https://doi.org/10.4995/agt.2018.7409
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Keywords:

Meir-Keeler contractions, Ciric-Matkowski contractions, Proinov-type contractions, ν-generalized metric space, coupled fixed point theorems

Supporting agencies:

Ministry of Education

Science and Technological Development of Serbia

Grant No. 174002.

Abstract:

New fixed point and coupled fixed point theorems in partially ordered ν-generalized metric spaces are presented. Since the product of two ν-generalized metric spaces is not in general a ν-generalized metric space, a different approach is needed than in the case of standard metric spaces.

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