Sufficiency and mixed type duality for multiobjective variational control problems involving α-V-univexity

Sarita Sharma; Anurag Jayswal; Sarita Choudhury

doi:10.3934/eect.2017006

Article Contents

2017, Volume 6, Issue 1: 93-109. Doi: 10.3934/eect.2017006

This issue Previous Article Identification problems of retarded differential systems in Hilbert spaces Next Article On an inverse problem for fractional evolution equation

Sufficiency and mixed type duality for multiobjective variational control problems involving α-V-univexity

1.
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247 667, India
2.
Department of Applied Mathematics, Indian School of Mines ^†, Dhanbad-826 004, Jharkhand, India

* Corresponding author: Sarita Sharma
* Corresponding author: Sarita Sharma

Indian School of Mines has now been renamed as Indian Institute of Technology (Indian School of Mines)

Received: July 2015

Revised: July 2016

Published: March 2018

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Abstract

In this paper, we focus our study on a multiobjective variational control problem and establish sufficient optimality conditions under the assumptions of α-V-univex function. Furthermore, mixed type duality results are also discussed under the aforesaid assumption in order to relate the primal and dual problems. Examples are given to show the existence of α-V-univex function and to elucidate duality result.

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Mathematics Subject Classification: 90C30, 90C11, 90C20, 90C26.

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