@article{Preeti2023, 
author = { Preeti and Poonam Agarwal and Savin Treanţă and Kamsing Nonlaopon},
title = {Penalty approach for KT-pseudoinvex multidimensional variational control problems},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {5687-5702},
keywords = {exact l1 penalty method, KT-pseudoinvexity, control problem},
url = {https://www.sciopen.com/article/10.3934/math.2023286},
doi = {10.3934/math.2023286},
abstract = {The present paper is the result of a contemplative study of a multi-time control problem (MCP) by considering its associated equivalent auxiliary control problem (MCP)                 ς       via the exact        l          1       penalty method. Further study reveals that the solution set of the considered problem and the auxiliary problem exhibits an equivalence under the KT-pseudoinvexity hypothesis. Moreover, the study is extended towards the saddle point defined for (MCP) to establish the relationship between the solution set of multi-time control problem (MCP) and its associated equivalent auxiliary control problem (MCP)                 ς      . Finally, we present an illustrative application to authenticate the results presented in this paper.}
}