A Strong Convergence Theorem for Solving the Split Equality Fixed Point Problem

Xueling Zhou, Meixia Li () and Haitao Che ()
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Xueling Zhou: College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China
Meixia Li: School of Mathematics and Information Science, Weifang University, Weifang 261061, P. R. China
Haitao Che: School of Mathematics and Information Science, Weifang University, Weifang 261061, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2021, vol. 38, issue 05, 1-17

Abstract: In this paper, we study the split equality fixed point problem and propose a new iterative algorithm with a self-adaptive stepsize that does not need the prior information of the operator norms and is calculated easily. The L-Lipschitz and quasi-pseudo-contractive mappings are chosen as the operators in the algorithm since they have a wider range of applications. Moreover, we prove that the sequence generated by the algorithm strongly converges to the solution of the problem. Finally, we check the feasibility and effectiveness of the algorithm by comparing with other algorithms.

Keywords: Quasi-pseudo-contractive mapping; strong convergence; split equality fixed point problem (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0217595921400145

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