On some vector f-complementarity problems

Ravi P. Agarwal; Alireza Amini-Harandi; Ali P. Farajzadeh; Donal O'Regan

doi:10.1515/GMJ.2011.0046

On some vector f-complementarity problems

Ravi P. Agarwal
, Alireza Amini-Harandi
, Ali P. Farajzadeh
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized f-complementarity problems and three classes of variational inequalities in real Banach spaces for a fixed cone. Our aim is to introduce a vector case of their problems in the real topological vector spaces setting for a moving cone and to generalize their results even in the scalar case.

Original language	English
Pages (from-to)	597-614
Number of pages	18
Journal	Georgian Mathematical Journal
Volume	18
Issue number	4
DOIs	https://doi.org/10.1515/GMJ.2011.0046
Publication status	Published - Dec 2011

Keywords

Coercivity conditions
Equivalence
Existence
Generalized vector f-complementarity problem
Generalized vector variational inequality

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10.1515/GMJ.2011.0046

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title = "On some vector f-complementarity problems",

abstract = "Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized f-complementarity problems and three classes of variational inequalities in real Banach spaces for a fixed cone. Our aim is to introduce a vector case of their problems in the real topological vector spaces setting for a moving cone and to generalize their results even in the scalar case.",

keywords = "Coercivity conditions, Equivalence, Existence, Generalized vector f-complementarity problem, Generalized vector variational inequality",

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AU - Agarwal, Ravi P.

AU - Amini-Harandi, Alireza

AU - Farajzadeh, Ali P.

AU - O'Regan, Donal

PY - 2011/12

Y1 - 2011/12

N2 - Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized f-complementarity problems and three classes of variational inequalities in real Banach spaces for a fixed cone. Our aim is to introduce a vector case of their problems in the real topological vector spaces setting for a moving cone and to generalize their results even in the scalar case.

AB - Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized f-complementarity problems and three classes of variational inequalities in real Banach spaces for a fixed cone. Our aim is to introduce a vector case of their problems in the real topological vector spaces setting for a moving cone and to generalize their results even in the scalar case.

KW - Coercivity conditions

KW - Equivalence

KW - Existence

KW - Generalized vector f-complementarity problem

KW - Generalized vector variational inequality

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DO - 10.1515/GMJ.2011.0046

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VL - 18

SP - 597

EP - 614

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 4

ER -

On some vector f-complementarity problems

Abstract

Keywords

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