On Multi-valued Weak Contraction Mappings

kritsana Neammanee, Annop Kaewkhao

Abstract


In this paper, we study fixed point theorems for multi-valued weak contractions. We show that the Picard projection iteration converges to a fixed point, give a rate of convergence and generalize Collage theorem. This work includes results on multi-valued contraction mappings studied by (Kunze, H.E., La Torre, D. & Vrscay, E.R., 2007) and on multi-valued Zamfirescu mappings intrudeced by (Kaewkhao, An. & Neammanee, K., 2010).


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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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