Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces

Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces

<p/> <p>A new class of generalized nonlinear variational inclusions involving <inline-formula><graphic file="1687-1812-2007-029653-i2.gif"/></inline-formula>-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized r...

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Main Authors: Qin Xiaolong, Su Yongfu, Shang Meijuan, Cho Yeol Je
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2007/029653
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spelling doaj-96fc2a2306134a378dc875a57714035c2020-11-24T23:52:32ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-01-0120071029653Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert SpacesQin XiaolongSu YongfuShang MeijuanCho Yeol Je<p/> <p>A new class of generalized nonlinear variational inclusions involving <inline-formula><graphic file="1687-1812-2007-029653-i2.gif"/></inline-formula>-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with <inline-formula><graphic file="1687-1812-2007-029653-i3.gif"/></inline-formula>-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since <inline-formula><graphic file="1687-1812-2007-029653-i4.gif"/></inline-formula>-monotonicity generalizes <inline-formula><graphic file="1687-1812-2007-029653-i5.gif"/></inline-formula>-monotonicity and <inline-formula><graphic file="1687-1812-2007-029653-i6.gif"/></inline-formula>-monotonicity, results obtained in this paper improve and extend many others.</p> http://www.fixedpointtheoryandapplications.com/content/2007/029653
collection DOAJ
language English
format Article
sources DOAJ
author Qin Xiaolong
Su Yongfu
Shang Meijuan
Cho Yeol Je
spellingShingle Qin Xiaolong
Su Yongfu
Shang Meijuan
Cho Yeol Je
Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces
Fixed Point Theory and Applications
author_facet Qin Xiaolong
Su Yongfu
Shang Meijuan
Cho Yeol Je
author_sort Qin Xiaolong
title Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces
title_short Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces
title_full Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces
title_fullStr Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces
title_full_unstemmed Generalized Nonlinear Variational Inclusions Involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-Monotone Mappings in Hilbert Spaces
title_sort generalized nonlinear variational inclusions involving <inline-formula><graphic file="1687-1812-2007-029653-i1.gif"/></inline-formula>-monotone mappings in hilbert spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2007-01-01
description <p/> <p>A new class of generalized nonlinear variational inclusions involving <inline-formula><graphic file="1687-1812-2007-029653-i2.gif"/></inline-formula>-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with <inline-formula><graphic file="1687-1812-2007-029653-i3.gif"/></inline-formula>-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since <inline-formula><graphic file="1687-1812-2007-029653-i4.gif"/></inline-formula>-monotonicity generalizes <inline-formula><graphic file="1687-1812-2007-029653-i5.gif"/></inline-formula>-monotonicity and <inline-formula><graphic file="1687-1812-2007-029653-i6.gif"/></inline-formula>-monotonicity, results obtained in this paper improve and extend many others.</p>
url http://www.fixedpointtheoryandapplications.com/content/2007/029653
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AT suyongfu generalizednonlinearvariationalinclusionsinvolvinginlineformulagraphicfile168718122007029653i1gifinlineformulamonotonemappingsinhilbertspaces
AT shangmeijuan generalizednonlinearvariationalinclusionsinvolvinginlineformulagraphicfile168718122007029653i1gifinlineformulamonotonemappingsinhilbertspaces
AT choyeolje generalizednonlinearvariationalinclusionsinvolvinginlineformulagraphicfile168718122007029653i1gifinlineformulamonotonemappingsinhilbertspaces
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