Common Fixed Point Theorems for(sub) Compatible and Set-Valued Generalized Nonexpansive Mappings in Complete Convex Metric Spaces

Liu Li-shan

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(7): 651-658

Liu Li-shan. Common Fixed Point Theorems for(sub) Compatible and Set-Valued Generalized Nonexpansive Mappings in Complete Convex Metric Spaces[J]. Applied Mathematics and Mechanics, 1993, 14(7): 651-658.

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Common Fixed Point Theorems for(sub) Compatible and Set-Valued Generalized Nonexpansive Mappings in Complete Convex Metric Spaces

Liu Li-shan

Department of Mathematics, Qufu Normal University, Qufu

Received Date: 1989-05-22
Publish Date: 1993-07-15

Abstract

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].
- convex metric spaces,
- (sub) compatible mapping,
- set-valued generalized nonexpansive mapping,
- common fixed points

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References(17)

References

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