An Analysis on Fixed Point Theorem and Its Application in Fuzzy Metric Space

Exploring Fixed Point Theorems and Iterative Methods in Fuzzy Metric Spaces

Abstract

The principle point of this examination is to introduce the idea of general Mann and general Ishikawa write twofold sequences iterations with blunders to approximate fixed points. We demonstrate that the general Mann compose twofold sequence iteration process with blunders meets strongly to a fortuitous event point of two continuous pseudo-contractive mappings, each of which maps a bounded shut arched nonempty subset of a genuine Hilbert space into itself. In addition, we talk about equality from the S, T-secure qualities point of view under specific confinements between the general Mann write twofold sequence iteration process with mistakes and the general Ishikawa iterations with blunders. An application is additionally given to help our thought utilizing good compose mappings. In this paper, we manage iterative methods for approximation of fixed points and their applications. We initially talk about fixed point theorems for a non-expansive mapping or a group of non-expansive mappings.