Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1130
Title: Some results on fixed points of multifunctions on abstract metric spaces
Authors: Radenović, Stojan
Kadelburg, Zoran 
Keywords: Cone metric space;Multifunctions;Normal and nonnormal cone;Symmetric space
Issue Date: 1-Mar-2011
Journal: Mathematical and Computer Modelling
Abstract: 
Recently, Kunze et al. [H.E. Kunze, D. La Torre, E.R. Vrscay, Contraction multifunctions, fixed point inclusions and iterated multifunction system, J. Math. Anal. Appl. 330 (2007) 159-173] proved some fixed point results for multifunctions in metric spaces. Rezapour and Haghi [Sh. Rezapour, R.H. Haghi, Fixed point of multifunctions on cone metric spaces, Numer. Funct. Anal. Optim. 30 (2009) 825-832] adapted these results to the case of abstract (cone) metric spaces when the underlying cone is normal with normal constant M=1. The aim of this paper is to show that these results remain valid in the case when M>1. Introducing new contraction conditions our results generalize fixed point theorems of Covitz and Nadler, Kunze et al. and Rezapour and Haghi. An example is given to distinguish our results from the known ones. In addition, the case when two mappings are considered is treated. © 2010 Elsevier Ltd.
URI: https://research.matf.bg.ac.rs/handle/123456789/1130
ISSN: 08957177
DOI: 10.1016/j.mcm.2010.10.012
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