Approximating random common fixed point of random set-valued strongly pseudo-contractive mappings |
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Authors: | Jun Li Nan-Jing Huang |
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Institution: | 1. Department of Mathematics, China West Normal University, 637002, Nanchong, Sichuan, P. R. China 2. Department of Mathematics, Sichuan University, 610064, Chengdu, Sichuan, P. R. China
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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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