Recently, Reich and Zaslavski [S. Reich and A.J. Zaslavski, Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings, Fixed Point Theory Appl. 2010 (2010), Article ID 518243, 10 pages] have studied a new inexact iterative scheme for fixed points of contractive multifunctions. In this paper, using the partial Hausdorff metric introduced by Aydi et al., we prove an analogous to a result of Reich and Zaslavski for contractive multifunctions in the setting of partial metric spaces. An example is given to illustrate our result.

Paesano, D., Vetro, P. (2015). Approximation of fixed points of multifunctions in partial metric spaces. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 44(1), 111-119 [10.15672/HJMS.2015449088].

Approximation of fixed points of multifunctions in partial metric spaces

PAESANO, DANIELA;VETRO, Pasquale
2015-01-01

Abstract

Recently, Reich and Zaslavski [S. Reich and A.J. Zaslavski, Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings, Fixed Point Theory Appl. 2010 (2010), Article ID 518243, 10 pages] have studied a new inexact iterative scheme for fixed points of contractive multifunctions. In this paper, using the partial Hausdorff metric introduced by Aydi et al., we prove an analogous to a result of Reich and Zaslavski for contractive multifunctions in the setting of partial metric spaces. An example is given to illustrate our result.
2015
Settore MAT/05 - Analisi Matematica
Paesano, D., Vetro, P. (2015). Approximation of fixed points of multifunctions in partial metric spaces. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 44(1), 111-119 [10.15672/HJMS.2015449088].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/202998
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