J Austral Math Soc Ser A 56 pp291--302, 1994.

Some Generalizatons in H-Modular Spaces of Fan's Best Approximation Theorem

Carlo Bardaro and Rita Ceppitelli

(Received 17 May 1991; revised 15 November 1991)

Abstract

We state best approximation and fixed point theorems in modular spaces endowed with an H-space structure given by the modular topology. We consider both the cases of single valued functions and multifunctions. These theorems extend some previous results due to Ky Fan.

1991 AMS Subject Classification: primary 47H10; secondary 54H25

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Authors

Carlo Bardaro: Dipartimento di Matematica, Universita degli Studi di Perugia, via Pascoli, 06100 Perugia, Italy.
Rita Ceppitelli: Dipartimento di Matematica e Fisica, Universita di Camerino, via Venanzi 16, 62032 Camerino (MC), Italy.

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Last Modified: Fri Jan 10 8:53:40 2003