Optimal solutions to variational inequalities on Banach lattices

Jinlu Li; Efe A. Ok

doi:10.1016/j.jmaa.2011.11.009

Optimal solutions to variational inequalities on Banach lattices

Jinlu Li, Efe A. Ok

Research output: Contribution to journal › Article › peer-review

Abstract

We study the existence of maximum and minimum solutions to generalized variational inequalities on Banach lattices. The main tools of analysis are the variational characterization of the generalized metric projection operator and order-theoretic fixed point theory.

Original language	English (US)
Pages (from-to)	1157-1165
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	388
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2011.11.009
State	Published - Apr 15 2012

Keywords

Banach lattices
Fixed points
Metric projections
Variational inequalities

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2011.11.009

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title = "Optimal solutions to variational inequalities on Banach lattices",

abstract = "We study the existence of maximum and minimum solutions to generalized variational inequalities on Banach lattices. The main tools of analysis are the variational characterization of the generalized metric projection operator and order-theoretic fixed point theory.",

keywords = "Banach lattices, Fixed points, Metric projections, Variational inequalities",

author = "Jinlu Li and Ok, {Efe A.}",

year = "2012",

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AU - Li, Jinlu

AU - Ok, Efe A.

PY - 2012/4/15

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N2 - We study the existence of maximum and minimum solutions to generalized variational inequalities on Banach lattices. The main tools of analysis are the variational characterization of the generalized metric projection operator and order-theoretic fixed point theory.

AB - We study the existence of maximum and minimum solutions to generalized variational inequalities on Banach lattices. The main tools of analysis are the variational characterization of the generalized metric projection operator and order-theoretic fixed point theory.

KW - Banach lattices

KW - Fixed points

KW - Metric projections

KW - Variational inequalities

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EP - 1165

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

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Optimal solutions to variational inequalities on Banach lattices

Abstract

Keywords

ASJC Scopus subject areas

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