A class of second order nondifferentiable symmetric duality relations under generalized assumptions

Volume 21, Issue 2, pp 120--126 http://dx.doi.org/10.22436/jmcs.021.02.03

Publication Date: April 01, 2020 Submission Date: June 17, 2019 Revision Date: January 27, 2020 Accteptance Date: February 10, 2020

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Authors

Ramu Dubey - Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121 006, India. Vandana - Department of Management Studies, Indian Institute of Technology Madras, Chennai-600036, Tamil Nadu, India. Vishnu Narayan Mishra - Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887, Madhya Pradesh, India. Seda Karateke - Department of Mathematics and Computer Science, Faculty of Science and Letters, Istanbul Arel University, Istanbul-34537, Turkey.

Abstract

In this article, a pair of second-order nondifferentiable symmetric dual model in optimization problem is formulated over arbitrary cones. For a differentiable function, we consider the definition of strongly \(K\)-pseudobonvexity convexity. Next, we derive the appropriate duality results under aforesaid assumptions.

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Keywords

• Symmetric duality
• second-order
• non-differentiable
• strongly \(K\)-pseudobonvexity

MSC

•  90C26
•  90C30
•  90C32
•  90C46

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