Several Fixed Point Theorems In Fuzzy Soft Metric Spaces

This paper is based on the theory of fuzzy soft sets and the classical fixed point theory.Around the fixed point theorems in fuzzy soft metric spaces,we introduce four main types of fuzzy soft mappings,and select the appropriate convergence framework to study their fixed point theorems.The paper consists of seven chapters,the main contents are in Chapter 3 to Chapter 6.Firstly,we study the fixed point theorems of some contractive mappings.We discuss the fixed point theorems of fuzzy soft Hardy-Rogers type mappings in the framework of u-convergence,and these results are optimized in the framework of p-convergence;we discuss the common fixed point theorem of fuzzy soft Hardy-Rogers type mapping;the common fixed point theorems of two kinds of fuzzy soft Rhoades contractive mappings are proved.Secondly,we study the fixed point theorems of fuzzy soft extension type mappings.In this paper,we introduce four kinds of fuzzy soft extension type mappings in p-complete fuzzy soft metric spaces,and prove their fixed point theorems.Thirdly,we study the fuzzy soft Meir-Keeler type fixed point theorem.We discuss the fixed point theorem of non-expansive fuzzy soft Meir-Keeler mapping and generalized fuzzy soft Meir-Keeler mapping.Furthermore,it is generalized to the common fixed point theorems of fuzzy soft Meir-Keeler type mappings.Finally,the fixed point theorem of fuzzy soft Caristi mapping is proved.