COMMON FIXED POINT RESULTS FOR WEAKLY COMPATIBLE MAPPINGS WITH AN APPLICATION TO DETERMINISTIC FRACTALS

P. Kumam, G. K. Jacob (), J. Ar. H. Ansari (), M. Marudai () and T. Seangwattana ()
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P. Kumam: KMUTTFixed Point Research Laboratory, Department of Mathematics & KMUTT-Fixed, Point Theory and Applications Research Group (KMUTT-FPTA), Room SCL 802 Fixed Point Laboratory, 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, Thung Khru, Bangkok 10140, Thailand2Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
G. K. Jacob: Department of Mathematics, Bharathidasan University, Trichy 620 024, Tamil Nadu, India
J. Ar. H. Ansari: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
M. Marudai: Department of Mathematics, Bharathidasan University, Trichy 620 024, Tamil Nadu, India
T. Seangwattana: Faculty of Science Energy and Environment, King Mongkut’s University of Technology North Bangkok, Rayong Campus (KMUTNB), 21120 Rayong, Thailand

FRACTALS (fractals), 2022, vol. 30, issue 06, 1-9

Abstract: In this paper, we prove the existence of a common fixed point for generalized weakly Zamfirescu-type mappings. Finally, we give an application to our main result in the fractal space which proves the existence of a common attractor for a new kind of deterministic fractal.

Keywords: Cyclic Coupled Contraction; Best Proximity Point; Multivalued Mapping; Fixed Point; C-Class Function (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501110

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