• FIXED POINT THEOREMS

Naseer Ahmad Gilani*

Abstract


There is a conjecture of S. Reich which concerns with the existence of fixed points of multivalued mappings that satisfy a certain contractive condition. N. Mizoguchi and W. Takahashi has provided a positive answer to this conjecture of S. Reich. In this paper, we will give an alternative proof for the theorem of N. Mizoguchi and W. Takahashi.


Keywords


Proximinal Sets, Compactly Positive Mappings, Weakly Contractive Mappings, Complete Metric Space, Hausdorff Metric Space and Fixed Point.

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