COMMON FIXED POINT OF COMPATIBLE TYPE $(K)$ MAPPINGS IN FUZZY METRIC SPACE

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 148

Volume : 18 , Issue : 2
DOI: 10.56827/SEAJMMS.2022.1802.22
Author :
Swati Agnihotri (Department of Applied & Humanities, Invertis University, Bareilly - 243123, Uttar Pradesh, INDIA)
K. K. Dubey (Department of Applied & Humanities, Invertis University, Bareilly - 243123, Uttar Pradesh, INDIA)
V. K. Gupta (P. G. Department of Mathematics, Govt. Madhav Science P.G. College, Ujjain (M. P.), INDIA)

Abstract

The purpose of this paper is to establish a common fixed point theorem for six self-mappings in complete fuzzy metric space, using the concept of compatibility of type $(K)$ with another functional inequality and our result generalize the result of K. B. Manandhar and et al. [7] and other similar results in the literature.

Keywords and Phrases

Common fixed point, fuzzy metric space, compatible mappings of type $(E)$, compatible mappings of type $(K)$.

A.M.S. subject classification

54H25, 47H10.

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