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Chang, Shih-sen; Yao, Jen-Chih; Wen, Ching-Feng; Zhao, Liang-cai

On the split equality fixed point problem of quasi-pseudo-contractive mappings without a priori knowledge of operator norms with applications. (English) Zbl 1439.49018

J. Optim. Theory Appl. 185, No. 2, 343-360 (2020).
Summary: 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.

Cited in 5 Documents

MSC:

49J40 Variational inequalities
49J52 Nonsmooth analysis
47J20 Variational and other types of inequalities involving nonlinear operators (general)

Keywords:

split equality fixed point problem; quasi-pseudo-contractive mapping; demicontractive operator; quasi-nonexpansive mapping; directed operator; firmly nonexpansive mapping; weak convergence
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References:

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