A BEST APPROXIMATION THEOREM FOR SET-VALUED MAPPINGS IN REFLEXIVE BANACH SPACES

George Isac

Abstract


In this paper, we prove a best approximation theorem for set-valued mappings, in re°exive Banach spaces. From this theorem we deduce some corollaries and some fixed-point theorems. We use the method of KKM-mappings and a Ky Fan's-KKM type Theorem.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)