数学物理学报(英文版)

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EQUILIBRIUM PROBLEMS WITH LOWER AND UPPER BOUNDS IN TOPOLOGICAL SPACES

丁协平   

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China
  • 出版日期:2005-10-11 发布日期:2005-10-11
  • 基金资助:

    This project was supported by the NSF of Sichuan Education Department
    (2003A081)

EQUILIBRIUM PROBLEMS WITH LOWER AND UPPER BOUNDS IN TOPOLOGICAL SPACES

Ding Xieping   

  • Online:2005-10-11 Published:2005-10-11
  • Supported by:

    This project was supported by the NSF of Sichuan Education Department
    (2003A081)

摘要:

By employing a fixed point theorem due to Ding, Park and Jung, some ex-
istence theorems of solutions for equilibrium problems with lower and upper bounds are
proved in noncompact topological spaces. These results further answer the open problem
raised by Isac, Sehgal and Singh under much weaker assumptions.

Abstract:

By employing a fixed point theorem due to Ding, Park and Jung, some ex-
istence theorems of solutions for equilibrium problems with lower and upper bounds are
proved in noncompact topological spaces. These results further answer the open problem
raised by Isac, Sehgal and Singh under much weaker assumptions.

Key words: Equilibrium problem, fixed point theorem, contractible space, acyclic space,
topological space

中图分类号: 

  • 49A27