Fixexd point theory and applications | |
Strong Convergence of a New Iterative Method for Infinite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces | |
Baohua Guo1  Shenghua Wang2  | |
[1] Department of Mathematics and Physics, North China Electric Power University, Baoding, China;National Engineering Laboratory for Biomass Power Generation Equipment, North China Electric Power University, Baoding, China | |
关键词: Hilbert Space; Variational Inequality; Equilibrium Problem; Nonexpansive Mapping; Iterative Scheme; | |
DOI : 10.1155/2011/392741 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We introduce an iterative algorithm for finding a common element of the set of solutions of an infinite family of equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space. We prove some strong convergence theorems for the proposed iterative scheme to a fixed point of the family of nonexpansive mappings, which is the unique solution of a variational inequality. As an application, we use the result of this paper to solve a multiobjective optimization problem. Our result extends and improves the ones of Colao et al. (2008) and some others.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904021664745ZK.pdf | 285KB | download |