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

• 作 者: 刘元星 师爱芬
• 机 构: 河北经贸大学 数学与统计学学院,河北 石家庄,050061
• 出 处: 河北师范大学学报（自然科学版）
• 发表日期: 2014年6期
• 关键词: equilibrium problem variational inequalities fixed points strongly α-inverselymo

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 quasi φnonexpansive mappings in a real uniform-ly smooth and 2-uniformly convex Banach space .We prove some strong convergence theorems that extend the previous work .