Iterative Approximation Of Fixed Points Of Nonself-Asymptotically Purturbed Nonexpansive Mappings And Generalized Mixed Equilibrium Problems

Iterative algorithms of fixed points of nonself-asymptotically purturbed non-expansive mappings and generalized mixed equilibrium problems in Hilbert space are discussed in this paper. The results extend and improve some previous known results. The main contents of this paper are as follows:The first chapter, the background will be discussed.The second chapter, on the basis of H.K.Pathak's nonself-asymptotically pur-turbed nonexpansive mappings, a new iterative scheme is constructed, and We show that the strong convergence theorem and weak convergence theorem of the iterative sequence with different conditions in a real uniformly convex Banach space.The third chapter, we construct a compositve algorithm by a shrinking pro-jection method for finding a common element of fixed points of a strictly pseudo-contractive mapping, the set of solutions of variational inequalities and the set of solutions of generalized mixed equilibrium problems in Hilbert space. Then we show the strong convergences of the iterative sequence at last.