Optimality and duality in complex minimax optimization under generalized α-invexity

S. K. Mishra; J. S. Rautela; R. P. Pant

Optimality and duality in complex minimax optimization under generalized α-invexity

S. K. Mishra, J. S. Rautela, R. P. Pant

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

3 Citations (Scopus)

Abstract

In the present paper we extend the classes of invex functions (Mishra, Wang and Lai [14]) to generalized α-invex and related functions in context of complex space and establish the Kuhn-Tucker type sufficient optimality conditions for complex minimax programming under aforesaid conditions. Subsequently, we apply these optimality criteria to formulate two dual models. We also establish weak, strong, and strict converse duality theorems.

Original language	English
Pages (from-to)	357-368
Number of pages	12
Journal	Journal of Nonlinear and Convex Analysis
Volume	11
Issue number	2
Publication status	Published - Aug 2010
Externally published	Yes

Keywords

Complex minimax programming
Duality
α-Invexity

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "Optimality and duality in complex minimax optimization under generalized α-invexity",

abstract = "In the present paper we extend the classes of invex functions (Mishra, Wang and Lai [14]) to generalized α-invex and related functions in context of complex space and establish the Kuhn-Tucker type sufficient optimality conditions for complex minimax programming under aforesaid conditions. Subsequently, we apply these optimality criteria to formulate two dual models. We also establish weak, strong, and strict converse duality theorems.",

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AU - Mishra, S. K.

AU - Rautela, J. S.

AU - Pant, R. P.

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N2 - In the present paper we extend the classes of invex functions (Mishra, Wang and Lai [14]) to generalized α-invex and related functions in context of complex space and establish the Kuhn-Tucker type sufficient optimality conditions for complex minimax programming under aforesaid conditions. Subsequently, we apply these optimality criteria to formulate two dual models. We also establish weak, strong, and strict converse duality theorems.

AB - In the present paper we extend the classes of invex functions (Mishra, Wang and Lai [14]) to generalized α-invex and related functions in context of complex space and establish the Kuhn-Tucker type sufficient optimality conditions for complex minimax programming under aforesaid conditions. Subsequently, we apply these optimality criteria to formulate two dual models. We also establish weak, strong, and strict converse duality theorems.

KW - Complex minimax programming

KW - Duality

KW - α-Invexity

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M3 - Article

AN - SCOPUS:84864432360

SN - 1345-4773

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JO - Journal of Nonlinear and Convex Analysis

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IS - 2

ER -

Optimality and duality in complex minimax optimization under generalized α-invexity

Abstract

Keywords

ASJC Scopus subject areas

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