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Some generalizations in H-modular spaces of Fan's best approximation theorem

Part of: Connections with other structures, applications Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

Carlo Bardaro  and
Rita Ceppitelli
Carlo Bardaro
Affiliation:
Dipartimento di Matematica, Università degli Studi di Perugia, via Pascoli, 06100 Perugia, Italy
Rita Ceppitelli
Affiliation:
Dipartimento di Mathematica e Fisica, Università di Camerino, via Venanzi 16, 62032 Camerino (MC), Italy
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Abstract

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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.

MSC classification

Secondary: 47H10: Fixed-point theorems 54H25: Fixed-point and coincidence theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 56 , Issue 3 , June 1994 , pp. 291 - 302
Copyright
Copyright © Australian Mathematical Society 1994

References

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