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Symmetry 2019, 11(1), 61; https://doi.org/10.3390/sym11010061

Common Fixed Point Results for Fuzzy Mappings on Complex-Valued Metric Spaces with Homotopy Results

1
,
1,* and 2,3,4,*
1
Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa 18800, Pakistan
2
KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
3
KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
4
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Authors to whom correspondence should be addressed.
Received: 6 November 2018 / Revised: 13 December 2018 / Accepted: 22 December 2018 / Published: 8 January 2019
(This article belongs to the Special Issue Fixed Point Theory and Fractional Calculus with Applications)
Full-Text   |   PDF [315 KB, uploaded 9 January 2019]

Abstract

Owing to the notion of a complex-valued metric space, we prove fixed point results, which generalize some common fixed point results under contractive condition for rational expression in the context of complex-valued metric spaces. In application, we present a homotopy result to apply the results obtained herein. View Full-Text
Keywords: complex valued metric space; fuzzy mappings; fixed point; common fixed point; cauchy sequence; contractive condition complex valued metric space; fuzzy mappings; fixed point; common fixed point; cauchy sequence; contractive condition
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Humaira; Sarwar, M.; Kumam, P. Common Fixed Point Results for Fuzzy Mappings on Complex-Valued Metric Spaces with Homotopy Results. Symmetry 2019, 11, 61.

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