Fixed Point Theorems For Generalized Multi-valued Contractive Mappings Of Integral Type

This paper studies the existence and iterative approximations of fixed points for generalized multivalued contractive mappings of integral type in complete metric spaces,generalized Mizoguchi-Takahashi type contractive mappings,(?,?,?)-contractive multivalued mappings and Ciric-Berinde type contractive multivalued mappings are applied to integral type contractive mappings,the existence of fixed points is proved by iterative approximation,the main mapping is as follows:where ???,???2,???,?:X×X?R+ is a function,T:X?CL(X)is?*-admissible mappings,In the preface of this paper,it introduces the development of fixed points of integral type contractive mappings and generalized multi-valued contractive mappings,in addition,the fixed point theorems of classical integral contractive mappings in recent years and the fixed point theorems of multit-valued contractive mappings under the conditions of ?-admissible mappings and ?*-admissible mappings are presented.On the basis of previous studies,this paper is written and proved.At the same time,the fixed point theorem and the basic conditions of the generalized multi-valued mapping are given.This paper is divided into three parts,in the first part,author briefly introduce some symbols,definitions and lemmas which are needed in this paper.The second part is the main part of this paper,which focuses on the description of the nine theorems,and gives proofs,in which some theorems are omitted.In the third part,it gives out two non trivial examples.By means of the given space,mappings and function equations,but also shows the importance of the theorem and the practical value of the theorem in this paper.