Study of Soft Set and Common Soft Point With Complete Metric Space

Abstract

In this paper firstly we study systematic and critical study of the fundamentals of soft set theory, which include operations on soft sets and their properties. We define equality of two soft sets, subset and super set of a soft set, complement of a soft set, null soft set, and absolute soft set .The purpose of this paper is to prove the existence of fixed point on a soft metric space.

Keyword: Soft Set , Soft Complement function ,Null soft set, Absolute soft set, Soft Subset, Soft super set ,Fixed point, Complete Metric Space.