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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