淡江大學機構典藏:Item 987654321/109349
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    題名: EXISTENCE THEOREMS FOR GENERALIZED VECTOR EQUILIBRIA WITH VARIABLE ORDERING RELATION
    作者: Ceng, Lu-Chuan;Liou, Yeong-Cheng;Wen, Ching-Feng
    關鍵詞: Generalized vector equilibrium problem;Variable ordering relation;Cone mapping;KKM-Fan theorem;Brouwer fixed point theorem;Monotonicity;Complete continuity
    日期: 2016-12
    上傳時間: 2017-01-17 09:27:37 (UTC+8)
    出版者: 淡江大學出版中心
    摘要: In this paper we study the solvability of the generalized vector equilibrium problem (for short, GVEP) with a variable ordering relation in reflexive Banach spaces. The existence results of strong solutions of GVEPs for monotone multifunctions are established with the use of the KKM-Fan theorem. We also investigate the GVEPs without monotonicity assumptions and obtain the corresponding results of weak solutions by applying the Brouwer fixed point theorem. These results are also the extension and improvement of some recent results in the literature.
    關聯: Tamkang Journal of Mathematics 47(4), pp.455-475
    DOI: 10.5556/j.tkjm.47.2016.2163
    顯示於類別:[淡江數學期刊] 第47卷第4期

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