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Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems

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Abstract

In this paper, we introduce the strong convergence theorem for the viscosity approximation methods for solving the split common fixed-point problem in Hilbert spaces. As a consequence, we obtain strong convergence theorems for split variational inequality problems for Lipschitz continuous and monotone operators and split common null point problems for maximal monotone operators. Our results improve and extend the corresponding results announced by many others.

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Authors and Affiliations

  1. Faculty of Economics Mathematics, National Economics University, 207 Giai Phong St. Hai Ba Trung District, Hanoi, Vietnam

    Duong Viet Thong

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  1. Duong Viet Thong
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Correspondence to Duong Viet Thong.

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Dedicated to Professor Do Hong Tan on the occasion of his 80th birthday

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Thong, D.V. Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems. J. Fixed Point Theory Appl. 19, 1481–1499 (2017). https://doi.org/10.1007/s11784-016-0323-y

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  • DOI: https://doi.org/10.1007/s11784-016-0323-y

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