General nonlinear random equations with random multivalued operator in Banach spaces
type: Item
instance of: scholarly article
title: General nonlinear random equations with random multivalued operator in Banach spaces
zbMATH Open document ID: 1181.47063
DOI: 10.1155/2009/865093
author: Yeol Je Cho
author: Wei Xie
author: Hengyou Lan
published in: Journal of Inequalities and Applications
publication date: 2009-11-03T00:00:00Z
full work available at URL: https://eudml.org/doc/117838
review text: Following \textit{H.-Y.\thinspace Lan, Q.-K.\thinspace Liu} and \textit{J.\,Li} [``Iterative approximation for a system of nonlinear variational inclusions involving generalized \(m\)-accretive mappings'', Nonlinear Anal.\ Forum 9, No.\,1, 33--42 (2004; Zbl 1064.49006)], \textit{R.\,Ahmad} and \textit{F.\,F.\thinspace Bazán} [``An iterative algorithm for random generalized nonlinear mixed variational inclusions for random fuzzy mappings'', Appl.\ Math.\ Comput.\ 167, No.\,2, 1400--1411 (2005; Zbl 1081.65060)] and \textit{R.\,U.\thinspace Verma} [``A class of projection-contraction methods applied to monotone variational inequalities'', Appl.\ Math.\ Lett.\ 13, No.\,8, 55--62 (2000; Zbl 0988.47041)], the authors study a new class of random multivalued nonlinear operator equations involving generalized \(m\)-accretive mappings in Banach spaces. Further, they obtain existence and convergence theorems for random multivalued operator equations in \(q\)-uniformly smooth Banach spaces. Some special cases are also discussed.
Mathematics Subject Classification ID: 47H40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 5624595
zbMATH Keywords: random operator
zbMATH Keywords: random multivalued operator
zbMATH Keywords: strongly accretive operator
zbMATH Keywords: Lipschitz continuous
zbMATH Keywords: \(m\)-accretive operator
Wikidata QID: Q59248943
MaRDI profile type: Publication
OpenAlex ID: W2058580860
cites work: On some non-linear elliptic differential functional equations
cites work: Q4466557
cites work: Q4664762
cites work: Generalized quasi-variational-like inclusions with nonconvex functionals
cites work: Generalized nonlinear variational inclusions with noncompact valued mappings
cites work: Q4415431
cites work: Q4323089
cites work: Q4670863
cites work: Q4658653
cites work: Q4658651
cites work: Q4663556
cites work: On generalized set-valued variational inclusions.
cites work: Q5697088
cites work: Q3415168
cites work: Q4789424
cites work: An iterative algorithm for random generalized nonlinear mixed variational inclusions for random fuzzy mappings
cites work: Random generalized set-valued strongly nonlinear implicit quasi-variational inequalities
cites work: On random variational inequalities
cites work: Random generalized nonlinear variational inclusions for random fuzzy mappings
cites work: Random completely generalized set-valued implicit quasi-variational inequalities
cites work: Q4385551
cites work: Q4881750
cites work: Q4793509
cites work: Generalized nonlinear random \((A,\eta)\)-accretive equations with random relaxed cocoercive mappings in Banach spaces
cites work: Q4825380
cites work: A class of projection-contraction methods applied to monotone variational inequalities
cites work: A perturbed algorithm for variational inclusions
cites work: Inequalities in Banach spaces with applications
cites work: Measurable relations
description: scientific article; zbMATH DE number 5624595