Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1013-1026.

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FIXED POINT INDEX OF UNIFORM LIMIT OF SET-VALUED STRICT SET-CONTRACTIVE MAPPINGS AND ITS APPLICATIONS

Ding Xie-ping, Lan Kun-quan   

  1. Department of Mathematics, Sichuan Normal University, Chengdu
  • Received:1989-09-27 Online:1990-11-18 Published:1990-11-18

Abstract: In this paper, the class of uniform limit mappings of set-valued, strick set-contractive mappings is discussed.Furthermore, the fixed point index theory for the uniform limit mappings is established.Using the fixed point index theory, some positive fixed point theorems are proved.Our theorems generalize some results in [1,4,5,7].

Key words: fixed point index, fixed point theorem, subjectivity theorem

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