Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings

被引：0
作者：
Rais Ahmad
Mohd Dilshad
机构：
[1] Aligarh Muslim University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
Variational Inequality; Iterative Algorithm; Real Banach Space; Lipschitz Continuity; Variational Inclusion;
D O I：
暂无
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学科分类号：
摘要：
We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces are equivalent to fixed point problems. This equivalence is used to suggest an iterative algorithm for solving resolvent equations. Some examples are constructed.
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[1]  
Ahmad R(2005)Proximal point algorithm for generalized multivalued nonlinear quasi-variational-like inclusions in Banach spaces Applied Mathematics and Computation 163 295-308
[2]  
Siddiqi AH(2000)An iterative algorithm for generalized nonlinear variational inclusions Applied Mathematics Letters 13 23-26
[3]  
Khan Z(2002)Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings Journal of Inequalities and Applications 7 807-828
[4]  
Ahmad R(2000)Sensitivity analysis for strongly nonlinear quasi-variational inclusions Applied Mathematics Letters 13 19-24
[5]  
Ansari QH(2002)Algorithm for generalized co-complementarity problems in Banach spaces Computers & Mathematics with Applications 43 49-54
[6]  
Agarwal RP(2000)Perturbed proximal point algorithms for general quasi-variational-like inclusions Journal of Computational and Applied Mathematics 113 153-165
[7]  
Huang NJ(1997)On generalized variational inequalities involving relaxed Lipschitz and relaxed monotone operators Journal of Mathematical Analysis and Applications 213 387-392
[8]  
Cho YJ(1991)Inequalities in Banach spaces with applications Nonlinear Analysis. Theory, Methods & Applications 16 1127-1138
[9]  
Agarwal RP(2006)Nonlinear relaxed cocoercive variational inclusions involving Computers & Mathematics with Applications 51 1529-1538
[10]  
Cho YJ(2000)-accretive mappings in Banach spaces Journal of Mathematical Analysis and Applications 248 438-454
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