Asia Mathematika, Vol 9, issue 2, pages: 47-50.

A Unique Fixed Point Result on C-G-MS

K.Prudhvi
Department of Mathematics, Raja Peary Mohan College, Uttarpara, West bengal, India.

Received: 08 Jul 2025 | Accepted: 19 Jul 2025 | Final Version: 31 Aug 2025

Abstract

In this paper, we establish a fixed point theorem in C-G-MS(Complete- Generalized -Metric Space), which is a generalization and extension of some of the well known comparable results existing in the literature.

Keywords:
Contractive mapping, fixed point, G-MS(Generalized Metric Space), convergent sequence.

1. Introduction

Banach contraction mapping principle is most important and it plays vital role in nonlinear analysis. In 1968 Kannan [3] established fixed point theorem which is also most important result in fixed point theory, from then onwards so many applications and generalizations were came in this field...

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