Common Fixed Point Theorems Of Mappings Satisfying Contractive Conditions

Since Banach’s contraction principle was proposed, there have been already a large number of scholars studying its conditions and conclusions. What’s more, what is of great concern is the existence of the fixed point of generalized contractive mappings in metric spaces. This paper, relaxing its conditions, aims to improve both recent relative results and the classical conclusions in metric spaces.This paper is mainly composed of three chapters:In Chapter 1, we propose the introduction, which contains a brief introduction to the research situation of the fixed point of a mapping, two mappings and four mappings.In Chapter 2, by converting the contractive condition:?(Tx)?(Ty) ?1 ??(d( fx, fy)) ??(M(x, y))we extend the fixed point theorem that meets T ?cyclic(?, ?) ?contractive mapping.In addition, we also give some examples and apply its conclusions into functional equations.In Chapter 3, we promote the fixed point theorem of four self-mappings to the one of four non-self mappings in symmetric spaces.