On the Split Equality Fixed Point Problem of Quasi-Pseudo-Contractive Mappings Without A Priori Knowledge of Operator Norms with Applications

Shih-sen Chang (), Jen-Chih Yao (), Ching-Feng Wen () and Liang-cai Zhao ()
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Shih-sen Chang: China Medical University
Jen-Chih Yao: China Medical University
Ching-Feng Wen: Kaohsiung Medical University
Liang-cai Zhao: Yibin University

Journal of Optimization Theory and Applications, 2020, vol. 185, issue 2, No 3, 343-360

Abstract: Abstract In this paper, we consider the split equality fixed point problem for quasi-pseudo-contractive mappings without a priori knowledge of operator norms in Hilbert spaces, which includes split feasibility problem, split equality problem, split fixed point problem, etc., as special cases. A unified framework for the study of this kind of problems and operators is provided. The results presented in the paper extend and improve many recent results.

Keywords: Split equality fixed point problem; Quasi-pseudo-contractive mapping; Demicontractive operator; Quasi-nonexpansive mapping; Directed operator; Firmly nonexpansive mapping; Weak convergence; 49J40; 49J52; 47J20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-020-01651-8

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