期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
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
- 河北经贸大学 数学与统计学学院, 河北 石家庄 050061
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DOI：10.11826/j.issn.1000-5854.2014.06.005
A New Iterative Method for Equilibrium,Variational Inequalities and Fixed Point Problems in 2-uniformly Convex Banach Spaces
摘要/Abstract
摘要：
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.
Abstract：
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 for α-inversely strongly monotone operator and the set of fixed points of quasi φ nonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach space.We prove some strong convergence theorems that extend the previous work.
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参考文献 6
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