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Maximal elements forG B-majorized mappings in productG-convex spaces and applications (II)

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Abstract

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces. These theorems improve and generalize many important known results in literature.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan Normal University, 610066, Chengdu, P. R. China

    Ding Xie-ping

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  1. Ding Xie-ping
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Contributed by Duping Xie-ping

Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan Province ([2000]25)

Biography: Duping Xie-ping (1938∼), Professor (E-mail: dingxip@sichu.edu.cn)

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Xie-ping, D. Maximal elements forG B-majorized mappings in productG-convex spaces and applications (II). Appl Math Mech 24, 1017–1024 (2003). https://doi.org/10.1007/BF02437634

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  • DOI: https://doi.org/10.1007/BF02437634

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2000 Mathematics Subject Classification

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