An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7641
Abstract: In this work, a new algorithm is suggested to solve the variational inequality problems for Lipschitz continuous and monotone operators and the fixed point problems for quasi‐nonexpansive operators. This algorithm is constructed based on the… read more here.
Keywords: quasi nonexpansive; inertial subgradient; nonexpansive operators; variational inequality ... See more keywords
Parallel iterative methods for Bregman strongly nonexpansive operators in reflexive Banach spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-016-0325-9
Abstract: The purpose of this paper is to introduce two parallel iterative methods which are based on the hybrid projection and shrinking projection methods to find a common fixed point of a finite family of Bregman… read more here.
Keywords: iterative methods; operators reflexive; nonexpansive operators; bregman strongly ... See more keywords
Compositions and convex combinations of Bregman weakly relatively nonexpansive operators in reflexive Banach spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-020-00800-w
Abstract: In this paper, we investigate the right and left Bregman weakly relatively nonexpansive operators in reflexive Banach spaces. We first introduce the notions of convex hull demi-closedness principle, strictly strongly convex hull demi-closedness principle, strongly… read more here.
Keywords: weakly relatively; operators reflexive; relatively nonexpansive; nonexpansive operators ... See more keywords