Intersection Theorems with Applications in Optimization

Ravi P. Agarwal; Mircea Balaj; Donal O’Regan

doi:10.1007/s10957-018-1331-4

Intersection Theorems with Applications in Optimization

Ravi P. Agarwal
, Mircea Balaj
, Donal O’Regan

Mathematics

Texas A&M University-Kingsville
Florida Institute of Technology
University of Oradea

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

9 Citations (Scopus)

Abstract

In this paper, we establish two intersection theorems which are useful in considering some optimization problems (complementarity problems, variational inequalities, minimax inequalities, saddle point problems).

Original language	English
Pages (from-to)	761-777
Number of pages	17
Journal	Journal of Optimization Theory and Applications
Volume	179
Issue number	3
DOIs	https://doi.org/10.1007/s10957-018-1331-4
Publication status	Published - 1 Dec 2018

Keywords

Minimax inequality
Variational inequality
Weak KKM map

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title = "Intersection Theorems with Applications in Optimization",

abstract = "In this paper, we establish two intersection theorems which are useful in considering some optimization problems (complementarity problems, variational inequalities, minimax inequalities, saddle point problems).",

keywords = "Minimax inequality, Variational inequality, Weak KKM map",

author = "Agarwal, \{Ravi P.\} and Mircea Balaj and Donal O{\textquoteright}Regan",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s10957-018-1331-4",

language = "English",

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AU - Balaj, Mircea

AU - O’Regan, Donal

PY - 2018/12/1

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N2 - In this paper, we establish two intersection theorems which are useful in considering some optimization problems (complementarity problems, variational inequalities, minimax inequalities, saddle point problems).

AB - In this paper, we establish two intersection theorems which are useful in considering some optimization problems (complementarity problems, variational inequalities, minimax inequalities, saddle point problems).

KW - Minimax inequality

KW - Variational inequality

KW - Weak KKM map

UR - https://www.scopus.com/pages/publications/85048556794

U2 - 10.1007/s10957-018-1331-4

DO - 10.1007/s10957-018-1331-4

M3 - Article

SN - 0022-3239

VL - 179

SP - 761

EP - 777

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

Intersection Theorems with Applications in Optimization

Abstract

Keywords

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