Iterative processes for common fixed points of two different families of mappings with applications

Sun Cho (), Xiaolong Qin () and Shin Kang ()

Journal of Global Optimization, 2013, vol. 57, issue 4, 1429-1446

Abstract: In this paper, an implicit iterative process is investigated for common fixed points of two different families of nonlinear mappings. Theorems of strong and weak convergence are established in real Hilbert spaces. As an application of the iterative process, inclusion problems are considered. Copyright Springer Science+Business Media New York 2013

Keywords: Asymptotically pseudocontractive mapping in the intermediate sense; Asymptotically strict pseudocontractive mapping in the intermediate sense; Asymptotically nonexpansive mapping in the intermediate sense; Fixed point; Iterative process; 47H05; 47H09; 47J25; 90C33 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-0017-y

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