REMARKS ON THE KKM THEORY OF ABSTRACT CONVEX MINIMAL SPACES

Sehie Park

Abstract


Recently, Allmohammady et al. [1-3], Darzi et al. [5], and Delavar et al. [6] dealt with some results in the KKM theory on generalized convex minimal spaces. By establishinga kind of the KKM principle in these spaces, they obtained some results on coincidence orfixed point theorems and others. Our aim in the present paper is to show that their results are consequences of corresponding ones for abstract convex minimal spaces in our previous paper [12] and hence, can be extended to more general setting.

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