Iterative Approximation Problems Of Fixed Points For Uniformly L-lipschitz Asympt-otically Quasi Pseudo-contractive Type Nonself-mappings

Since the Banach contraction mapping theorem was proved in1921by Banach,Under some restrictive conditions, people have discussed the Iterative ApproximationProblems of Fixed Points For various types of mappings by structuring different iter-ative sequences in different spaces. They have got a lot of research results. But theresults researched require that the mapping T is a self-mapping. In recent years, someauthors have started to extend self-mapping to nonself-mappings. Based on the realBanach space, we research the iterative approximation problems of fixed points foruniformly L-Lipschitz asymptotically quasi pseudo-contractive Type nonself-mappings.The results presented in this paper extend recent corresponding results.In chapter one, we introduce the significance of this paper and we present someresearch situation about asymptotically pseudo-contractive mappings of domestic andforeign country.In chapter two, we extend asymptotically quasi pseudo-contractive Typemappings to asymptotically quasi pseudo-contractive Type nonself-mappings. Basedon the real Banach space, under some restrictive conditions, a necessary and sufficientcondition is given for the modified Ishikawa iterative sequence with error to convergestrongly to a fixed point of asymptotically quasi pseudo-contractive Typenonself-mappings.In chapter three, in the appropriate constraints on the parameters, We continuediscuss the iterative approximation problems of common fixed points for uniformlyL-Lipschitz asymptotically quasi pseudo-contractive Type nonself-mappings, andgiven its corollary.