Fixed Point Results in Modified Intuitionistic Fuzzy Soft Metric Spaces with Application

Abstract

This paper establishes a new type of space, modified intuitionistic fuzzy soft metric space (MIFSMS). Basic properties and topological structures are defined in the setting of this new notion with valid examples. Moreover, we have given some new results along with suitable examples to show their validity. An application for finding the solution of an integral equation is also given by utilizing our newly developed results.

Keywords

• soft set
• modified intuitionistic fuzzy metric space
• Cauchy sequence
• fixed point