On a new system of generalized mixed quasi-variational-like inclusions involving (A, η, m)-accretive operators with applications

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Peng, Jian-Wen¹  Yao, Jen-Chih² 

[1] Chongqing Normal Univ, Coll Math & Comp Sci, Chongqing 400047, Peoples R China

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

关键词: System of generalized mixed quasi-variational-like inclusions;    (A, eta, m)-accretive operator;    Relaxed cocoercive mapping;    Existence;    p-step iterative algorithm;    Convergence;   

DOI  :  10.1016/j.cam.2009.12.001

来源: Elsevier

【 摘 要 】

In this paper, we introduce a new and interesting system of generalized mixed quasi-variational-like inclusions with (A, eta, m)-accretive operators and relaxed cocoercive mappings which contains variational inequalities, variational inclusions, systems of variational inequalities, systems of variational-like inequalities and systems of variational inclusions in the literature as special cases. By using the resolvent technique for the (A, eta, m)-accretive operators, we prove the existence of solutions and the convergence of a new p-step iterative algorithm for this system of generalized mixed quasi-variational-like inclusions in real q-uniformly smooth Banach spaces. The results in this paper unifies, extends and improves some known results in the literature. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

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