Common fixed points and endpoints of multi-valued generalized weak contraction mappings

2011/06/28 by Congdian Cheng, Cheng, Congdian
Computer Science · Mathematics · #Fixed Point Theorems Analysis #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #math.FA #msc:47H10 #msc:54C60

paper · pdf · doi:10.48550/arxiv.1106.5670

23 pages

arxiv created 2011/06/28 · arxiv updated 2011/06/29

Abstract

Let (X, d) be a complete metric space, and let S, T : X to CB(X) be a duality of multi-valued generalized weak contraction mappings or a duality of generalized weak contraction mappings. We discuss the common fixed points and endpoints of the two kinds of multi-valued weak mappings. Our results extend and improve some results given by Daffer and Kaneko (1995), Rouhani and Moradi (2010), and Moradi and Khojasteh (2011).

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