Abstract

In this paper, basic notions of soft sets are introduced and some important properties of soft metric spaces are established. It is shown that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduce from comparable existing results. Some examples are given to validate and illustrate the approach. Obtained results modify, improve, sharpen, enrich and generalize various known results.

Highlights

  • In the year 1999, Molodtsov [18] initiated a novel concept of soft set theory as a new mathematical tool for dealing with uncertainties

  • Bhardwaj et al Maji et al [15, 16] worked on soft set theory and presented an application of soft sets in decision making problems

  • Chen [5] introduced a new definition of soft set parametrization reduction and a comparison of it with attribute reduction in rough set theory, Ali et al [1] gave some new operations in soft set theory

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Summary

Introduction

In the year 1999, Molodtsov [18] initiated a novel concept of soft set theory as a new mathematical tool for dealing with uncertainties.

Results
Conclusion
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