Second-order symmetric duality with cone constraints

T. R. Gulati; S. K. Gupta; I. Ahmad

doi:10.1016/j.cam.2007.08.021

Second-order symmetric duality with cone constraints

T. R. Gulati^*
, S. K. Gupta
, I. Ahmad

^*Corresponding author for this work

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

27 Scopus citations

Abstract

Wolfe and Mond-Weir type second-order symmetric duals are formulated and appropriate duality theorems are established under η-bonvexity/η-pseudobonvexity assumptions. This formulation removes several omissions in an earlier second-order primal dual pair introduced by Devi [Symmetric duality for nonlinear programming problems involving η-bonvex functions, European J. Oper. Res. 104 (1998) 615-621].

Original language	English
Pages (from-to)	347-354
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	220
Issue number	1-2
DOIs	https://doi.org/10.1016/j.cam.2007.08.021
State	Published - 15 Oct 2008
Externally published	Yes

Bibliographical note

Funding Information:
The authors are thankful to a reviewer for his valuable suggestions. The second author was a Research Scholar at Indian Institute of Technology, Roorkee (India) during this work and is thankful to UGC, New Delhi for providing financial support.

Keywords

Cones
Nonlinear programming
Second-order symmetric duality
η-Bonvexity

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2007.08.021

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title = "Second-order symmetric duality with cone constraints",

abstract = "Wolfe and Mond-Weir type second-order symmetric duals are formulated and appropriate duality theorems are established under η-bonvexity/η-pseudobonvexity assumptions. This formulation removes several omissions in an earlier second-order primal dual pair introduced by Devi [Symmetric duality for nonlinear programming problems involving η-bonvex functions, European J. Oper. Res. 104 (1998) 615-621].",

keywords = "Cones, Nonlinear programming, Second-order symmetric duality, η-Bonvexity",

author = "Gulati, \{T. R.\} and Gupta, \{S. K.\} and I. Ahmad",

note = "Funding Information: The authors are thankful to a reviewer for his valuable suggestions. The second author was a Research Scholar at Indian Institute of Technology, Roorkee (India) during this work and is thankful to UGC, New Delhi for providing financial support.",

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T1 - Second-order symmetric duality with cone constraints

AU - Gulati, T. R.

AU - Gupta, S. K.

AU - Ahmad, I.

N1 - Funding Information: The authors are thankful to a reviewer for his valuable suggestions. The second author was a Research Scholar at Indian Institute of Technology, Roorkee (India) during this work and is thankful to UGC, New Delhi for providing financial support.

PY - 2008/10/15

Y1 - 2008/10/15

N2 - Wolfe and Mond-Weir type second-order symmetric duals are formulated and appropriate duality theorems are established under η-bonvexity/η-pseudobonvexity assumptions. This formulation removes several omissions in an earlier second-order primal dual pair introduced by Devi [Symmetric duality for nonlinear programming problems involving η-bonvex functions, European J. Oper. Res. 104 (1998) 615-621].

AB - Wolfe and Mond-Weir type second-order symmetric duals are formulated and appropriate duality theorems are established under η-bonvexity/η-pseudobonvexity assumptions. This formulation removes several omissions in an earlier second-order primal dual pair introduced by Devi [Symmetric duality for nonlinear programming problems involving η-bonvex functions, European J. Oper. Res. 104 (1998) 615-621].

KW - Cones

KW - Nonlinear programming

KW - Second-order symmetric duality

KW - η-Bonvexity

UR - https://www.scopus.com/pages/publications/47849108989

U2 - 10.1016/j.cam.2007.08.021

DO - 10.1016/j.cam.2007.08.021

M3 - Article

AN - SCOPUS:47849108989

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VL - 220

SP - 347

EP - 354

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

Second-order symmetric duality with cone constraints

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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