Common Fixed Point Theorems in Fuzzy Metric Space with Applications

2018/07/06 by Rachana Soni, Soni, Rachana
Mathematics · #47H10 #54H25 #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1807.02387

openalex publication_date 2018/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a new class of implicit function to prove common fixed point theorems in fuzzy metric space. Moreover we define a new altering distance in terms of integral and utilize the same to deduce integral type contractive conditions. Secondly we present application of main results to the system of functional equations. At the end we give an example in support of results of the paper.

Citations

• Fixed point theorems by altering distances between the points

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