Open Access
February, 2022 Exact Penalization and Optimality Conditions for Approximate Directional Minima
Teodor Chelmuş
Author Affiliations +
Taiwanese J. Math. 26(1): 201-219 (February, 2022). DOI: 10.11650/tjm/211004


In this paper, we study the concept of approximate directional efficiency for set-valued constrained and unconstrained optimization problems. In our work, we concerned with finding conditions under which the Clarke penalization technique can be applied, and we derive some optimality conditions via variational analysis tools such as limiting normal cones and its corresponding normal coderivative.

Funding Statement

This research was supported by the European Social Fund in the framework of The Human Capital Operational Program 2014–2020, POCU/380/6/13/123623, “Doctoral students and postdoctoral researchers ready for the labor market”.


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Teodor Chelmuş. "Exact Penalization and Optimality Conditions for Approximate Directional Minima." Taiwanese J. Math. 26 (1) 201 - 219, February, 2022.


Received: 7 December 2020; Revised: 17 September 2021; Accepted: 21 October 2021; Published: February, 2022
First available in Project Euclid: 7 November 2021

MathSciNet: MR4373323
zbMATH: 1486.90171
Digital Object Identifier: 10.11650/tjm/211004

Primary: 46G05 , ‎54C60‎ , 90C29 , 90C30 , 90C46

Keywords: approximate minima , directional minimality , exact penalty , multiobjective optimization , variational analysis

Rights: Copyright © 2022 The Mathematical Society of the Republic of China

Vol.26 • No. 1 • February, 2022
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