Acta mathematica scientia,Series B

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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)

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

CLC Number: 

  • 49A27
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