Proximal point algorithms based on S-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Algorithms"
DOI: 10.1007/s11075-020-00945-2
Abstract: In this paper, we combine the S-iteration process introduced by Agarwal et al. (J. Nonlinear Convex Anal., 8(1), 61–79 2007) with the proximal point algorithm introduced by Rockafellar (SIAM J. Control Optim., 14, 877–898 1976)… read more here.
Keywords: asymptotically quasi; nonexpansive mappings; proximal point; point ... See more keywords
Asymptotically quasi-nonexpansive mappings with respect to the Bregman distance in the intermediate sense
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DOI: 10.24193/fpt-ro.2017.1.31
Abstract: The purpose of this paper is to introduce a new class of nonlinear mappings which is an extension of asymptotically quasi-nonexpansive mappings with respect to the Bregman distance in the intermediate sense. A strong convergence… read more here.
Keywords: asymptotically quasi; respect bregman; nonexpansive mappings; bregman distance ... See more keywords
On Bregman Asymptotically Quasi-Nonexpansive Mappings and Generalized Variational-like Systems
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DOI: 10.3390/math13223641
Abstract: In this work, we propose and study an inertial hybrid projection algorithm to approximate a common solution of a system of unrelated generalized mixed variational-like inequalities and the common fixed points of Bregman asymptotically quasi-nonexpansive… read more here.
Keywords: bregman asymptotically; variational like; mappings generalized; nonexpansive mappings ... See more keywords