Iterative Algorithms for Split Common Fixed Point Problem Involved in Pseudo-Contractive Operators without Lipschitz Assumption

Jinzuo Chen, Mihai Postolache and Li-Jun Zhu
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Jinzuo Chen: School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, China
Mihai Postolache: Center for General Education, China Medical University, Taichung 40402, Taiwan
Li-Jun Zhu: The Key Laboratory of Intelligent Information and Big Data Processing of NingXia Province, North Minzu University, Yinchuan 750021, China

Mathematics, 2019, vol. 7, issue 9, 1-13

Abstract: Two iterative algorithms are suggested for approximating a solution of the split common fixed point problem involved in pseudo-contractive operators without Lipschitz assumption. We prove that the sequence generated by the first algorithm converges weakly to a solution of the split common fixed point problem and the second one converges strongly. Moreover, the sequence { x n } generated by Algorithm 3 strongly converges to z = proj S 0 , which is the minimum-norm solution of problem (1). Numerical examples are included.

Keywords: split common fixed point problem; iterative algorithms; pseudo-contractive operators; Lipschitz assumption (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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