Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (2): 141-150.

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EXISTENCE OF SOLUTIONS FOR GENERALIZED QUASI-VARIATIONAL-LIKE INEQUALITIES

Ding Xieping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066. P. R. China
  • Received:1995-11-10 Online:1997-02-18 Published:1997-02-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

Abstract: In this paper, some existence theorems of solutions for a class of generalizedquasi-variational-like inequalities with discontinuous mappings are proved underparacompact setting in topological vector spaces. These theorems unify, improve andgeneralize many recent results.

Key words: topological vector space, generalized quasi-variational-like inequality, 0-diagonally concave, 0-diagonally concave relation

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