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
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure
Sign Up to like & getrecommendations! Published in 2023 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2023.2212495
Abstract: Abstract We consider a new type of cyclic (noncyclic) mappings, called diametrically relatively nonexpansive maps which contains properly the class of cyclic (noncyclic) relatively nonexpansive mappings. For such mappings we obtain existence results of best… read more here.
Keywords: nonexpansive mappings; proximal normal; normal structure; relatively nonexpansive ... See more keywords
Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits
Sign Up to like & getrecommendations! Published in 2020 at "Optimization"
DOI: 10.1080/02331934.2020.1745797
Abstract: ABSTRACT In this article, we survey the existence of best proximity pairs for noncyclic contractions with respect to orbits which are defined on a non-convex and weakly compact pair of subsets of a strictly convex… read more here.
Keywords: nonexpansive mappings; relatively nonexpansive; minimal invariant; invariant pairs ... See more keywords