关于一族有限ξ严格伪压缩映射不动点问题和平衡问题混合投影下的强收敛性

Abstract

Abstract:

In this paper, we introduce an iterative scheme by using the hybrid projection methods for finding a common element of the set solutions of an equilibrium problem and the set of fixed points of a finite family of ξ-strict pseudo-contraction mappings in Hilbert space. We obtain two strong convergence theorems under mild assumptions on parameters for the sequences generated by these processes.

Key words: ξ-strict pseudo-contraction mappings, Fixed point problems, Equilibrium, Hybrid projection methods

CLC Number:

46C05

LI Na, LI Jun. Strong Convergence Theorems for Solving EquilibriumProblems and Fixed Point Problems of a Finite Family of ξ-Strict Pseudo-Contraction Mappings by Two Hybrid Projection Methods[J].Acta mathematica scientia,Series A, 2013, 33(1): 114-122.

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Strong Convergence Theorems for Solving EquilibriumProblems and Fixed Point Problems of a Finite Family of ξ-Strict Pseudo-Contraction Mappings by Two Hybrid Projection Methods

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