Approximation solvability for a class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings

Shih Sen Chang; Heung Wing Joseph Lee; Chi Kin Chan

Approximation solvability for a class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings

Shih Sen Chang, Heung Wing Joseph Lee, Chi Kin Chan

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

A new class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings in Hilbert spaces are introduced are studied. Under appropriate conditions and by using resolvent operator technique associated with (A, η)-monotonicity, some existence and approximation solvability theorems are investigated. The results presented in the paper extend some recent results.

Original language	English
Pages (from-to)	19-31
Number of pages	13
Journal	Panamerican Mathematical Journal
Volume	18
Issue number	2
Publication status	Published - 1 Apr 2008

Keywords

(A, η)-monotone mapping
(m, η)-relaxed monotonicity
Maximal η-monotonicity
Maximal monotonicity
Resolvent operator
Resolvent operator equation
Set-valued variational inclusion

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Approximation solvability for a class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings",

abstract = "A new class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings in Hilbert spaces are introduced are studied. Under appropriate conditions and by using resolvent operator technique associated with (A, η)-monotonicity, some existence and approximation solvability theorems are investigated. The results presented in the paper extend some recent results.",

keywords = "(A, η)-monotone mapping, (m, η)-relaxed monotonicity, Maximal η-monotonicity, Maximal monotonicity, Resolvent operator, Resolvent operator equation, Set-valued variational inclusion",

author = "Chang, {Shih Sen} and Lee, {Heung Wing Joseph} and Chan, {Chi Kin}",

year = "2008",

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language = "English",

volume = "18",

pages = "19--31",

journal = "Panamerican Mathematical Journal",

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AU - Chang, Shih Sen

AU - Lee, Heung Wing Joseph

AU - Chan, Chi Kin

PY - 2008/4/1

Y1 - 2008/4/1

N2 - A new class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings in Hilbert spaces are introduced are studied. Under appropriate conditions and by using resolvent operator technique associated with (A, η)-monotonicity, some existence and approximation solvability theorems are investigated. The results presented in the paper extend some recent results.

AB - A new class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings in Hilbert spaces are introduced are studied. Under appropriate conditions and by using resolvent operator technique associated with (A, η)-monotonicity, some existence and approximation solvability theorems are investigated. The results presented in the paper extend some recent results.

KW - (A, η)-monotone mapping

KW - (m, η)-relaxed monotonicity

KW - Maximal η-monotonicity

KW - Maximal monotonicity

KW - Resolvent operator

KW - Resolvent operator equation

KW - Set-valued variational inclusion

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M3 - Journal article

SN - 1064-9735

VL - 18

SP - 19

EP - 31

JO - Panamerican Mathematical Journal

JF - Panamerican Mathematical Journal

IS - 2

ER -

Approximation solvability for a class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings

Abstract

Keywords

ASJC Scopus subject areas

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