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Resolvent operator technique for generalized implicit variational-like inclusion in Banach space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2010年第2期361卷 283-292页

作者： Zhang, Qing-bang Ding, Xie-ping Cheng, Cao-zong Beijing Univ Technol Dept Math Beijing 100022 Peoples R China Sichuan Normal Univ Coll Math & Software Sci Chengdu 610066 Peoples R China

A new class of g-eta-accretive mappings is introduced and studied in Banach space. By using the properties of g-eta-accretive mappings, the concept of resolvent operators associated with the classical m-accretive operators is extended. And an iterative algorithm for a new class of generalized implicit variational-like inclusion involving g-eta-accretive mappings and its convergence results are established in Banach space. (c) 2006 Elsevier Inc. All rights reserved.

关键词： g-eta-Accretive mappings Resolvent operator technique generalized implicit variational-like inclusion Iterative algorithm

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generalized implicit variational-like inclusion problems involving G-η-monotone mappings

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APPLIED MATHEMATICS LETTERS 2007年第2期20卷 216-221页

作者： Zhang, Qing-Bang Beijing Univ Technol Coll Appl Sci Beijing 100022 Peoples R China

A new class of G-eta-monotone mappings is introduced and studied in Hilbert space. By using the properties of G-eta-monotone mappings, the solvability of a class of nonlinear variational inclusions using the generaliz... 详细信息

关键词： G-eta-monotone mappings generalized resolvent operator technique generalized implicit variational-like inclusion

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g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions

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Applied Mathematics and Mechanics(English Edition) 2007年第1期28卷 11-18页

作者：张清邦丁协平 College of Applied Sciences Beijing University of Technology Beijing 100022 P. R. China College of Mathematics and Software Science Sichuan Normal UniversityChengdu 610066 P. R. China

A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented, An iterative algorithm for approximating the solutions of generalized implicit wriational- like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved,

关键词： g-η-monotone mapping resolvent operator generalized implicit variational-like inclusion iterative algorithm

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