A strong convergence theorem for solving the split feasibility and fixed point problems in Banach spaces

Tuyen, Truong Minh; Ha, Nguyen Song

doi:10.1007/s11784-018-0622-6

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2019

2023

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Cited by 12 publications

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“…Problem SEP is an extension of many mathematical models which have been considered and studied intensively by several authors recently: split variational inequality problems [12], split common fixed point problems [7,13,16,19,28,31,36,[38][39][40], and the split feasibility problems which have been used for studying medical image reconstruction, sensor networks, intensity modulated radiation therapy, and data compression; see [5,[8][9][10] and the references quoted therein.…”

Section: Introductionmentioning

confidence: 99%

A new extragradient algorithm for split equilibrium problems and fixed point problems

et al. 2019

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In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems. The strong convergence theorems are proved in the framework of Hilbert spaces under some mild conditions. We apply the obtained main result for the problem of finding a solution of split variational inequality problems and split fixed point problems and a numerical example and computational results are also provided.

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