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

Authors:
Sun Young Cho;Xiaolong Qin;Shin Min Kang
Affiliations:
Department of Mathematics, Gyeongsang National University, Jinju, Korea 660-701;Department of Mathematics, Hangzhou Normal University, Hangzhou, China 310036;Department of Mathematics and RINS, Gyeongsang National University, Jinju, Korea 660-701
Venue:
Journal of Global Optimization
Year:
2013

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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.