全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Banach空间中含A-单调映射的一类变分包含组

Keywords: A-单调映射,邻近映射,变分包含组,迭代算法,Banach空间

Full-Text   Cite this paper   Add to My Lib

Abstract:

在一致光滑Banach空间,引入和研究了一类新的含A-单调映射的变分包含组问题.利用A-单调映射生成的邻近映射,给出了一类变分包含组问题的迭代算法,并证明了该迭代算法的收敛性,改进和推广了近期文献中的相关结果.

References

[1]  Verma R U. Generalized nonlinear variational inclusion problems involving A-monotone mappings[J]. Appl Math Lett,2006,19:960-963.
[2]  Ding X P, Xia F Q. A new class of completely generalized quasi-variational inclusions in Banach spaces[J]. J Comput Appl Math,2002,147:369-383.
[3]  Xia F Q, Huang N J. Variational inclusions with a general H-monotone operator in Banach spaces[J]. Comput Math Appl,2007,54:24-30.
[4]  Feng H R, Ding X P. A new system of generalized nonlinear quasi-variational-like inclusions with A-monotone operators in Banach spaces[J]. J Comput Appl Math,2009,225(2):365-373.
[5]  Kazmi K R, Bhat M I. Iterative algorithm for a system of nonlinear variational-like inclusions[J]. Comput Math Appl,2004,48:1929-1935.
[6]  Hassouni A, Moudafi A. A perturbed algorithm for variational inclusions[J]. J Math Anal Appl,1994,185:706-712.
[7]  Petryshyn W V. A characterization of strictly convexity of Banach spaces and other uses of duality mappings[J]. J Funct Anal,1970,6:282-291.
[8]  Zhang Q B. Generalized implicit variational-like inclusion problems involving G-η-monotone mappings[J]. Appl Math Lett,2007,20(2):216-221.
[9]  Lan H Y, Cho Y J, Verma R U. Nonlinear relaxed cocoercive variational inclusions involving (A,η)-accretive mappings in Banach spaces[J]. Comput Math Appl,2006,51:1529-1538.
[10]  Lan H Y. (A,η)-accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces[J]. Appl Math Lett,2007,20(5):571-577.
[11]  Fang Y P, Huang N J, Thompson H B. A new system of variational inclusions with (H,η)-monotone operators in Hilbert spaces[J]. Comput Math Appl,2005,49:365-374.
[12]  Fang Y P, Huang N J. H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces[J]. Appl Math Lett,2004,17:647-653.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133