Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity

Izhar Ahmad; S. K. Gupta; N. Kailey; Ravi P. Agarwal

doi:10.1186/1029-242X-2011-75

Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity

Izhar Ahmad^*
, S. K. Gupta
, N. Kailey
, Ravi P. Agarwal

^*Corresponding author for this work

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

24 Scopus citations

Abstract

In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the problem and its dual problem under B-(p, r)-invexity assumptions. Examples are given to show that B-(p, r)-invex functions are generalization of (p, r)-invex and convex functions

Original language	English
Article number	75
Journal	Journal of Inequalities and Applications
Volume	2011
DOIs	https://doi.org/10.1186/1029-242X-2011-75
State	Published - 2011

Keywords

B-(p, r)-invex function
Duality theorems
Nondifferentiable fractional programming
Optimality conditions

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/1029-242X-2011-75

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abstract = "In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the problem and its dual problem under B-(p, r)-invexity assumptions. Examples are given to show that B-(p, r)-invex functions are generalization of (p, r)-invex and convex functions",

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Y1 - 2011

N2 - In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the problem and its dual problem under B-(p, r)-invexity assumptions. Examples are given to show that B-(p, r)-invex functions are generalization of (p, r)-invex and convex functions

AB - In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the problem and its dual problem under B-(p, r)-invexity assumptions. Examples are given to show that B-(p, r)-invex functions are generalization of (p, r)-invex and convex functions

KW - B-(p, r)-invex function

KW - Duality theorems

KW - Nondifferentiable fractional programming

KW - Optimality conditions

UR - https://www.scopus.com/pages/publications/84868030322

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DO - 10.1186/1029-242X-2011-75

M3 - Article

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 75

ER -

Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity

Abstract

Keywords

ASJC Scopus subject areas

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