Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (7): 685-692.

• Articles • Previous Articles    

COMMON FIXED POINT THEOREMS FOR(SUB)COMPATIBLE AND SET-VALUED GENERALIZED NONEXPANSIVE MAPPINGS IN COMPLETE CONVEX METRIC SPACES

Liu Li-shan   

  1. Department of Mathematics, Qufu Normal University, Qufu, Shandong
  • Received:1989-05-22 Online:1993-07-18 Published:1993-07-18

Abstract: In this paper, using some conditions of (sub) compatibility between a set-valued mapping and a Single-valued mapping, we establish a necessary and sufficient condition and a sufficient condition for set-valued generalized nonexpansive mappings to have a unique common fixed point in complete convex metric spaces. The results improve, extend and develop the main results in [2-7].

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