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Approximating random common fixed point of random set-valued strongly pseudo-contractive mappings

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Abstract

In this paper, we introduce new random iterative sequences with errors approximating a unique random common fixed point for three random set-valued strongly pseudo-contractive mappings and show the convergence of the random iterative sequences with errors by using an approximation method in real uniformly smooth separable Banach spaces. As applications, we study the existence of random solutions for some kind of random nonlinear operator equations group in separable Hilbert spaces.

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Authors and Affiliations

  1. Department of Mathematics, China West Normal University, 637002, Nanchong, Sichuan, P. R. China

    Jun Li

  2. Department of Mathematics, Sichuan University, 610064, Chengdu, Sichuan, P. R. China

    Nan-Jing Huang

Authors
  1. Jun Li
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  2. Nan-Jing Huang
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Correspondence to Nan-Jing Huang.

Additional information

The work was supported by the Scientific Research Foudation for the Returned Overseas Chinese Scholars, State Education Ministry, and the China West Normal University Research Fund 2003-3.

Jun Li received his MS from Sichuan University. Since 1998 he has been at China West Normal University. In 2003, he received a lecture from China West Normal University. His research interests center on the optimization theory and nonlinear functional analysis with applications.

Nan-jing Huang received his BS and MS and Ph. D from Sichuan University in 1983 and 1990 and 1997, respectively. Since 1990 he has work at Sichuan University. In 1998, he received a Full Professor from Sichuan University. His main areas of research are in optimization theory, fixed point theory, nonlinear analysis with applications.

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Li, J., Huang, NJ. Approximating random common fixed point of random set-valued strongly pseudo-contractive mappings. JAMC 17, 329–341 (2005). https://doi.org/10.1007/BF02936059

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