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Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第7期925-934,共10页
A new bilevel generalized mixed equilibrium problem (BGMEF) is introduced and studied in topological vector spaces. By using a minimax inequality, the existence of solutions and the behavior of solution set for the ... A new bilevel generalized mixed equilibrium problem (BGMEF) is introduced and studied in topological vector spaces. By using a minimax inequality, the existence of solutions and the behavior of solution set for the BGMEP are studied under quite mild conditions. These results are new and generalize some recent results in this field. 展开更多
关键词 generalized mixed equilibrium problem (GMEP) bilevel generalized mixedequilibrium problem (BGMEP) MONOTONICITY minimax inequality topological vectorspace
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BEST APPROXIMATION THEOREM FOR SET-VALUED MAPPINGSWITHOUT CONVEX VELUES AND CONTINUITY
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作者 丁协平 2何诣然 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第9期831-836,共6页
In this paper, a new concept of weakly ,convex graph for set-valued mappings is introduced and studied. By using the concept , some new coincidence, the bestapproximation and fixed point-theorems are obta... In this paper, a new concept of weakly ,convex graph for set-valued mappings is introduced and studied. By using the concept , some new coincidence, the bestapproximation and fixed point-theorems are obtained. 展开更多
关键词 best approximation COINCIDENCE fixed point topological vectorspace
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