Approximation of fixed points of multifunctions in partial metric spaces

Authors : Daniela Paesano, Pasquale VETRO

Pages : 111-119

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Publication Date : 2015-02-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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