A UNIFIED HYBRID ITERATIVE METHOD FOR SOLVING VARIATIONAL INEQUALITIES INVOLVING GENERALIZED PSEUDOCONTRACTIVE MAPPINGS

被引：23

作者：

Sahu, D. R. ^{[1
]}

Wong, N. C. ^{[2
]}

Yao, J. C. ^{[3
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India

[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

[3] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2012年 / 50卷 / 04期

关键词：

nearly Lipschitzian mapping; phi-strongly pseudocontractive mapping; generalized phi-pseudocontractive mapping; variational inequalities; viscosity approximation method; STRONG-CONVERGENCE THEOREMS; VISCOSITY APPROXIMATION METHODS; PSEUDO-CONTRACTIVE MAPPINGS; STEEPEST-DESCENT METHODS; FIXED-POINT THEOREM; NONEXPANSIVE-MAPPINGS; DIFFERENTIAL-EQUATIONS; ACCRETIVE-OPERATORS; COUNTABLE FAMILY; SEMIGROUP;

D O I：

10.1137/100798648

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study in this paper the existence and the approximation of solutions of variational inequalities involving generalized pseudocontractive mappings in Banach spaces. The convergence analysis of a proposed hybrid iterative method for approximating common zeros or fixed points of a possibly infinitely countable or uncountable family of such operators will be conducted within the conceptual framework of the "viscosity approximation technique" in reflexive Banach spaces with uniform Gateaux differentiable norms. This technique should make existing or new results in solving variational inequalities more applicable.

引用

页码：2335 / 2354

页数：20

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