GLOBAL OPTIMAL SOLUTIONS OF NON-SELF MAPPINGS

Moosa Gabeleh
2013 U.P.B. Sci. Bull., Series A   unpublished
In this paper we introduce a notion of the WP-property and study the existence of best proximity points for non-self-mappings. Our result generalizes the Mizoguchi and Takahashi's fixed point theorem for single valued mappings. Also by using the Schauder's fixed point theorem, we establish a best proximity point theorem in Banach spaces.
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