Common Fixed Point Theorems in Non-archimedean Fuzzy Metric Spaces

Abstract

The aim of this paper is to define the concept of weakly comparable multi-valued mappings. Also we obtain some common fixed point theorems for pairs of weakly comparable multi-valued mappings in ordered non-Archimedean fuzzy metric space.

General Contractive Mapping Condition of Fuzzy Metric Spaces in Fixed Point Theorem

“…Paper has proved common fixed point theorems for weakly compatible maps in fuzzy metric space by using the concept of (E.A) property, however, without assuming either the completeness of the space or continuity of the mappings involved. Singh et al (2012) aimed was to prove some common fixed point theorems in (GV)-fuzzy metric spaces. To prove the results, the research had employed the idea of compatibility.…”

Arithmetic Operations on Trapezoidal Fuzzy Numbers

“…Sophisticated fuzzy set theoretic methods have been applied to various areas ranging from fuzzy topological spaces to quantum optics, medicine and so on [4,5]. Singh [16] introduced a Common Fixed Point Theorems in Non-archimedean Fuzzy Metric Spaces. But Most of the recent research work on special behavior of fuzzy numbers like factorial, exponential, logarithmic and trigonometric is limited and much of the work is concentrated on linear fuzzy system of equations and their applications [6,7].…”