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

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  • Sun Cho

  • Xiaolong Qin

  • Shin Kang

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

Suggested Citation

  • Sun Cho & Xiaolong Qin & Shin Kang, 2013. "Iterative processes for common fixed points of two different families of mappings with applications," Journal of Global Optimization, Springer, vol. 57(4), pages 1429-1446, December.
    • Handle: RePEc:spr:jglopt:v:57:y:2013:i:4:p:1429-1446
    DOI: 10.1007/s10898-012-0017-y
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    References listed on IDEAS

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    1. Xiaolong Qin & Jong Kyu Kim & Tianze Wang, 2011. "On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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