Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming-Reference-Cited by-同舟云学术

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Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming

Published:2011 Issue: Volume:2011 Page:1-14
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Agarwal Ravi P.¹,Ahmad Izhar¹,Gupta S. K.²,Kailey N.³

Affiliation:

1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

2. Department of Mathematics, Indian Institute of Technology Patna, Patna 800 013, India

3. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India

Abstract

This paper is concerned with a pair of second-order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion of second-orderF-convexity/pseudoconvexity assumptions.

Funder

King Fahd University of Petroleum and Minerals, Saudi Arabia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/103597.pdf

Reference19 articles.

1. Symmetric dual nonlinear programs

2. A symmetric dual theorem for non-linear programs

3. On Symmetric Duality in Nonlinear Programming

4. Symmetric dual nondifferentiable programs

5. Generalized concavity and duality with a square root term

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1. Correspondence between a new pair of nondifferentiable mixed dual vector programs and higher-order generalized convexity;OPSEARCH;2024-02-12

2. Mixed Type Nondifferentiable Higher-Order Symmetric Duality over Cones;Symmetry;2020-02-11

3. A New Approach on Mixed-Type Nondifferentiable Higher-Order Symmetric Duality;Journal of the Operations Research Society of China;2018-08-31

4. Higher Order Fractional Symmetric Duality Over Cone Constraints;Journal of Mathematical Modelling and Algorithms in Operations Research;2014-05-21

5. Wolfe-type second-order fractional symmetric duality;Journal of Applied Analysis;2014-01-01

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