New kinds of generalized variational-like inequality problems in topological vector spaces

A. P. Farajzadeh; A. Amini-Harandi; D. O'Regan; R. P. Agarwal

doi:10.1016/j.aml.2008.12.002

New kinds of generalized variational-like inequality problems in topological vector spaces

A. P. Farajzadeh
, A. Amini-Harandi
, D. O'Regan
, R. P. Agarwal

Mathematics

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

5 Citations (Scopus)

Abstract

In this work, we consider a generalized nonlinear variational-like inequality problem, in topological vector spaces, and, by using the KKM technique, we prove an existence theorem. Our result extends a theorem of Ahmad and Irfan [R. Ahmad, S.S. Irfan, On the generalized nonlinear variational-like inequality problems, Appl. Math. Lett. 19 (2006) 294-297].

Original language	English
Pages (from-to)	1126-1129
Number of pages	4
Journal	Applied Mathematics Letters
Volume	22
Issue number	7
DOIs	https://doi.org/10.1016/j.aml.2008.12.002
Publication status	Published - 1 Jul 2009

Keywords

KKM mapping
Topological vector space
Upper semicontinuous mapping

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Farajzadeh, AP;Amini-Harandi, A;O'Regan, D;Agarwal, RP

Access to Document

10.1016/j.aml.2008.12.002

Cite this

@article{619a22e72de0407f84db1d122bdfe91c,

title = "New kinds of generalized variational-like inequality problems in topological vector spaces",

abstract = "In this work, we consider a generalized nonlinear variational-like inequality problem, in topological vector spaces, and, by using the KKM technique, we prove an existence theorem. Our result extends a theorem of Ahmad and Irfan [R. Ahmad, S.S. Irfan, On the generalized nonlinear variational-like inequality problems, Appl. Math. Lett. 19 (2006) 294-297].",

keywords = "KKM mapping, Topological vector space, Upper semicontinuous mapping",

author = "Farajzadeh, \{A. P.\} and A. Amini-Harandi and D. O'Regan and Agarwal, \{R. P.\}",

year = "2009",

month = jul,

day = "1",

doi = "10.1016/j.aml.2008.12.002",

language = "English",

volume = "22",

pages = "1126--1129",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

number = "7",

}

TY - JOUR

T1 - New kinds of generalized variational-like inequality problems in topological vector spaces

AU - Farajzadeh, A. P.

AU - Amini-Harandi, A.

AU - O'Regan, D.

AU - Agarwal, R. P.

PY - 2009/7/1

Y1 - 2009/7/1

N2 - In this work, we consider a generalized nonlinear variational-like inequality problem, in topological vector spaces, and, by using the KKM technique, we prove an existence theorem. Our result extends a theorem of Ahmad and Irfan [R. Ahmad, S.S. Irfan, On the generalized nonlinear variational-like inequality problems, Appl. Math. Lett. 19 (2006) 294-297].

AB - In this work, we consider a generalized nonlinear variational-like inequality problem, in topological vector spaces, and, by using the KKM technique, we prove an existence theorem. Our result extends a theorem of Ahmad and Irfan [R. Ahmad, S.S. Irfan, On the generalized nonlinear variational-like inequality problems, Appl. Math. Lett. 19 (2006) 294-297].

KW - KKM mapping

KW - Topological vector space

KW - Upper semicontinuous mapping

UR - https://www.scopus.com/pages/publications/67349151044

U2 - 10.1016/j.aml.2008.12.002

DO - 10.1016/j.aml.2008.12.002

M3 - Article

SN - 0893-9659

VL - 22

SP - 1126

EP - 1129

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 7

ER -

New kinds of generalized variational-like inequality problems in topological vector spaces

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

Other files and links

Fingerprint

Cite this