2一致凸Banach空间中均衡、变分不等式和不动点问题的新迭代算法

A New Iterative Method for Equilibrium,Variational Inequalities and Fixed Point Problems in 2-uniformly Convex Banach Spaces

在实一致光滑、2一致凸Banach空间中引进了一种新的杂交迭代算法,用以逼近一类均衡问题的解集、含有α逆强单调算子的变分不等式的解集和准φ非扩展映射的不动点集的公共元,得到了迭代强收敛的结论并推广了以往的相关研究成果.

In this paper,we introduce a new hybrid iterative scheme for finding the common element of the set of solutions of an equilibrium problem,the set of solutions of variational inequalities forα-inversely strongly monotone operator and the set of fixed points of quasiφnonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach space.We prove some strong convergence theorems that extend the previous work.