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A new fixed point result in double controlled fuzzy metric space with application
Rakesh Tiwari,Vladimir Rakocevic,Shraddha Rajput 원광대학교 기초자연과학연구소 2022 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.24 No.2
In this paper, we introduce the notion of double controlled fuzzy metric spaces which is an extension of the result of Sezen [1]. The paper concerns our sustained efforts for the materialization of double controlled fuzzy metric spaces. Further, we establish a Banach-type fixed point theorem. We provide suitable examples with graphic that validate our result. We also employ an application to substantiate the utility of our established result to show the existence and unique solution of an integral equation.
COMMON FIXED POINT THEOREMS IN G-FUZZY METRIC SPACES WITH APPLICATIONS
Rakesh Tiwari,Shraddha Rajput 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.5
In this paper, we prove common fixed point theorems for six weakly compatible mappings in G-fuzzy metric spaces introduced by Sun and Yang [16] which is actually generalization of G-metric spaces. G-metric spaces coined by Mustafa and Sims [13]. The paper concerns our sustained efforts for the materialization of G-fuzzy metric spaces and their properties. We also exercise the concept of symmetric G-fuzzy metric space, φ-function and weakly compatible mappings. The results present in this paper generalize the well-known comparable results in the literature. We justify our results by suitable examples. Some applications are also given in support of our results.