推广了Verma的关于Banach空间中变分包含的混合逼近点算法,它和在Hilbert空间中的结论不同,这样关于变分包含的研究就可以应用到Lp,Wm·p(Ω)空间中,其中p>1.
[1] Verma RU. A-monotonicity and its role in nonlinear variational inclusions [J]. Journal of Optimization Theory and Applications 2006, 3(3).
[2] Verma RU. Sensitivity analysis for generalized strongly monotone variational inclusions based on the (A, eta)-resolvent operator technique [J]. Applied mathematics letters 2006, 12(12).
[3] FANG Yaping, HUANG Nanjing. H-monotone operators and system of variational inclusions [J]. Communications on Applications and Nonlinear Analysis 2004, 11(01).
[4] Verma RU. A hybrid proximal point algorithm based on the (A, eta)-maximal monotonicity framework [J]. Applied mathematics letters 2008, 2(2).
[5] XU H K. Inequalities in Banach spaces with applications [J]. Nonlinear Analysis TMA 1991, 16(12).
[6] FANG Yaping, HUANG Nanjing. A new system of variational inclusions with monotone operators in Hilbert spaces [J]. Computers & Mathematics with Applications 2005, 49.
[7] Nan-Jing Huang, Ya-Ping Fang. Fixed Point Theorems and a New System of Multivalued Generalized Order Complementarity Problems [J]. Positivity 2003, 3(3).
[8] ZHANG Qingbang. Generalized implicit variational-like inclusion problems involving G-η-monotone mappings [J]. Applied Mathematics Letters 2007, 20.
[9] Fang YP, Huang NJ. H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces [J]. Applied mathematics letters 2004, 6(6).
[10] HOU Jian, HE Xinfeng, HE Zhen. Iterative methods for solving a system of variational inclusions involving H-η-monotone operators in Banach spaces [J]. Computers & Mathematics with Applications 2008, 55.
[11] Verma RU. Approximation solvability of a class of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings [J]. Journal of Mathematical Analysis and Applications 2008, 2(2).