Approximation of fixed points of multifunctions in partial metric spaces

Year 2015, Volume: 44 Issue: 1, 111 - 119, 01.02.2015

Daniela Paesano Pasquale Vetro

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. 

Keywords

Fixed point , contractive multifunctions , partial metric spaces , inexact iterative scheme

References

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