Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (5): 493-500.

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GENERALIZED MINIMAX INEQUALITIES AND FIXED POINT THEOREMS

Ma Yi-hai, Zhang Fu-bao   

  1. Department of Mathematics, Xuzhou Teacher’s College, Xuzhou
  • Received:1989-07-15 Online:1991-05-18 Published:1991-05-18
  • Supported by:
    The project supported by the Science Fund of Jiangsu

Abstract: Recently, many authors[1,3] have generalized the famous Ky Fan’s minimax inequality. In this paper, we put forward T-diagonal convexity (concavity) conditions and develop the main results in this respect. Next, we discuss some fixed point problems, and generalize the Fan-Glicksberg’s fixed point theorem[14].

Key words: T-diagonal quasi-concave (-convex), minimax inequality, fixed point theorem

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