@inproceedings{88e272d3bf2142ea93928d2f7b1e10ec,
title = "Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators",
abstract = "We study the existence and approximation of fixed points of right Bregman nonexpansive operators in reflexiveBanach space.We present, in particular, necessary and sufficient conditions for the existence of fixed points and an implicit scheme for approximating them.",
keywords = "Bregman distance, Bregman firmly nonexpansive operator, Monotone mapping, Nonexpansive operator, Reflexive Banach space, Resolvent, Retraction, Totally convex function",
author = "Victoria Mart{\'i}n-M{\'a}rquez and Simeon Reich and Shoham Sabach",
note = "Funding Information: The first author was partially supported by DGES (Grant MTM2009-10696-C02-01) and by the Junta de Andaluc{\'i}a (Grant FQM-127); the second and third authors were partially supported by the Israel Science Foundation (Grant 647/07), the Graduate School of the Technion, the Fund for the Promotion of Research at the Technion and by the Technion VPR Fund. Part of the research pertaining to this paper was carried out when the authors were visiting each other{\textquoteright}s institutions. They thank their colleagues for their kind hospitality. The authors are also grateful to an anonymous referee for several helpful comments and suggestions.",
year = "2013",
doi = "10.1007/978-1-4614-7621-4_24",
language = "الإنجليزيّة",
isbn = "9781461476207",
series = "Springer Proceedings in Mathematics and Statistics",
pages = "501--520",
booktitle = "Computational and Analytical Mathematics",
}