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151.
引入和研究了一类新的映拓扑空间到不同广义凸空间的集值映象簇· 利用连续单位分解定理和Brouwer不动点定理,在乘积广义凸空间的非紧设置下,对这类集值映象簇证明了极大元存在定理· 这些定理改进,统一和推广了近期文献中许多重要结果· 相似文献
152.
PREDICTOR-CORRECTOR ALGORITHMS FOR SOLVING GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM PROBLEMS 总被引:4,自引:0,他引:4
A new class of generalized mixed implicit quasi-equilibrium problems (GMIQEP) with four-functions is introduced and studied. The new class of equilibrium problems includes many known generalized equilibrium problems and generalized mixed implicit quasi-variational inequality problems as many special cases. By employing the auxiliary principle technique, some predictor-corrector iterative algorithms for solving the GMIQEP are suggested and analyzed. The convergence of the suggested algorithm only requires the continuity and the partially relaxed implicit strong monotonicity of the mappings 相似文献
153.
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 variational-like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved. 相似文献
154.
ITERATIVE PROCESS TO -HEMICONTRACTIVE OPERATOR AND-STRONGLY ACCRETIVE OPERATOR EQUATIONS 总被引:1,自引:0,他引:1
IntroductionLetEbeanarbitraryBanachspace ,E beitsdualspaceand〈x ,f 〉bethegeneralizeddualitypairingbetweenx∈Eandf ∈E .ThemappingJ :E→ 2 E definedbyJ(x) =f ∈E :〈x ,f 〉 =‖f ‖‖x‖ ,‖f ‖ =‖x‖iscalledthenormalizeddualitymapping .IfE isstrictlyconvex ,thenJissingle_valued .Wesh… 相似文献
155.
丁协平 《应用数学和力学(英文版)》2007,28(12):1569-1579
This paper is a continuum of the preceding paper of author. Some new systems of generalized vector quasi-equilibrium problems
involving condensing mappings are introduced and studied in locally FC-uniform spaces. By applying the existence theorem of maximal elements of condensing set-valued mappings in locally FC-uniform spaces obtained by author in the preceding paper, some new existence theorems of solutions for the systems of generalized
vector quasi-equilibrium problems are proved in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces.
Project supported by the Natural Science Foundation of Sichuan Education Department of China (No. 2003A081 and SZD0406) 相似文献
156.
丁协平 《应用数学和力学(英文版)》1987,(12)
In this paper,we prove several existence theorems of random solutions to nonlinearrandom Volterra integral equations under the weak topology of Banach spaces.Then,asapplications,we obtain the existence theorems of weak random solutions to randomdiffrential equations. Existence of extremal random solutions and a random comparisontheorem for these random equations are also obtained.Our theorems imaprove and extendthe corresponding resulls in [4,5,10,11,12]. 相似文献
157.
丁协平 《应用数学和力学(英文版)》2003,24(9)
IntroductionThispaperisacontinuumoftheprecedingpaperofauthor[1] .Fortheconceptsandnotationsofgeneralizedconvex (orG_convex)space ,CG_convexspace,theclassB(Y ,X)ofbetteradmissiblemappings ,GB_mappings,GB_majorizedmappingsandtherelatednotions,thereadermayconsultRef.[1].Themainaimofthispaperistogivesomeapplicationsoftheexistencetheoremsofmaximalelementsobtainedbyauthor[1] .ByapplyingourresultsinRef.[1],wegivesomecomponentversionofcoincidencetheoremandFan_Browdertypefixedpointtheorems .Somee… 相似文献
158.
丁协平 《应用数学和力学(英文版)》2011,32(11):1457-1474
A new bilevel generalized mixed equilibrium problem(BGMEP) involving generalized mixed variational-like inequality problems(GMVLIPs) is introduced and studied in the reflexive Banach spaces.First,an auxiliary generalized mixed equilibrium problem(AGMEP) is introduced to compute the approximate solutions of the BGMEP involving the GMVLIPs.By using a minimax inequality,the existence and the uniqueness of solutions of the AGMEP are proved under mild conditions without any coercive assumptions.By using an au... 相似文献
159.
丁协平 《数学物理学报(B辑英文版)》2011,31(3):1142-1154
In this paper, we study some new systems of generalized quasi-variational inclusion problems in FC-spaces without convexity structure.By applying an existence theorem of maximal elements of set-valued mappings due to the author, some new existence theorems of solutions for the systems of generalized quasi-variational inclusion problems are proved in noncompact FC-spaces. As applications, some existence results of solutions for the system of quasi-optimization problems and mathematical programs with the systems of generalized quasi-variational inclusion constraints are obtained in FC-spaces. 相似文献
160.
引入一类新的g-Eta-单调映像和一类涉及g-Eta-单调映像的广义隐似变分包含;定义了g-Eta-单调映像的预解算子,并证明了其Lipschitz连续性;分析和给出了这类涉及g-Eta-单调映像的广义隐似变分包含的迭代算法,并证明了其收敛性. 相似文献