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
Proximal point algorithms based on S-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications
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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
The general split equality problem for Bregman quasi-nonexpansive mappings in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0482-0
Abstract: The purpose of this paper is to propose and study an algorithm for solving the general split equality problem governed by Bregman quasi-nonexpansive mappings in Banach spaces. Under some mild conditions, we established the norm… read more here.
Keywords: bregman quasi; equality problem; general split; nonexpansive mappings ... See more keywords
Asymptotic behaviour of a nonautonomous evolution equation governed by a quasi-nonexpansive operator
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DOI: 10.1080/02331934.2021.1949314
Abstract: We study the asymptotic behavior of the trajectory of a nonautonomous evolution equation governed by a quasi-nonexpansive operator in Hilbert spaces. We prove the weak convergence of the trajectory to a fixed point of the… read more here.
Keywords: governed quasi; nonautonomous evolution; equation governed; evolution equation ... 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
An Efficient Iterative Procedure for Proximally Quasi-Nonexpansive Mappings and a Class of Boundary Value Problems
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DOI: 10.3390/axioms11030090
Abstract: It is well-known in the literature that many analytical techniques are introduced in order to find a solution for problems such as functional, differential, and integral equations. These analytical techniques sometimes fail to solve such… read more here.
Keywords: procedure; efficient iterative; iterative procedure; quasi nonexpansive ... See more keywords