[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.22771/nfaa.2021.26.01.12

BEST APPROXIMATIONS FOR MULTIMAPS ON ABSTRACT CONVEX SPACES

Park, Sehie (The National Academy of Sciences)

Publication Information

Nonlinear Functional Analysis and Applications / v.26, no.1, 2021 , pp. 165-175 More about this Journal

Abstract

In this article we derive some best approximation theorems for multimaps in abstract convex metric spaces. We are based on generalized KKM maps due to Kassay-Kolumbán, Chang-Zhang, and studied by Park, Kim-Park, Park-Lee, and Lee. Our main results are extensions of a recent work of Mitrović-Hussain-Sen-Radenović on G-convex metric spaces to partial KKM metric spaces. We also recall known works related to single-valued maps, and introduce new partial KKM metric spaces which can be applied our new results.

Keywords

Abstract convex space; KKM map; (partial) KKM space; KKM classes KC; KO; best approximation;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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