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Banach空间中广义混合平衡问题,变分不等式问题和不动点问题的混杂投影方法
Hybrid Projection Method for Generalized Mixed Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems in Banach Spaces
【摘要】 在Banach空间中,一个新的混杂投影迭代程序被引入来逼近广义混合平衡问题解集,变分不等式问题解集和一个相对弱非扩张映射的不动点集的公共元.所得结果改进和推广了最近一些文献的相应结果.
【Abstract】 A new hybrid projection iterative scheme was introduced for approximating a common element of the solution set of a generalized mixed equilibrium problem,the solution set of a variational inequality problem and the set of fixed points of a relatively weak nonexpansive mapping in Banach spaces.The results obtained generalize and improve the recent ones announced by many others.
【关键词】 相对弱非扩张映射;
强收敛;
变分不等式问题;
逆强单调映射;
广义混合平衡问题;
【Key words】 relatively weak nonexpansive mappings; strong convergence; variational inequality problems; inverse strongly monotone mappings; generalized mixed equilibrium problems;
【Key words】 relatively weak nonexpansive mappings; strong convergence; variational inequality problems; inverse strongly monotone mappings; generalized mixed equilibrium problems;
【基金】 国家自然科学基金资助项目(11071169);绍兴文理学院科研项目(09LG1002)的资助
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2011年02期
- 【分类号】O177.91
- 【被引频次】4
- 【下载频次】150