A review of solvability of inequality-constrained optimization problems with non-linear functions

Efor, Theresa Ebele and Chijioke, Chiamaka Nnenna (2025) A review of solvability of inequality-constrained optimization problems with non-linear functions. World Journal of Advanced Research and Reviews, 25 (3). pp. 2055-2061. ISSN 2581-9615

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Abstract

In this paper, we review techniques for solving inequality-constrained optimization problems with non-linear functions, emphasizing the Kuhn-Tucker (KT) method. The paper reviews their solvability ability as employed in solving inequality-constrained optimization problems. The necessary optimality conditions for obtaining optimal solutions for inequality-constrained problems are stated and discussed in this paper. The method of Kuhn-Tucker (KT) was used in solving for optimal solution of the inequality-constraints problem.

Item Type: Article
Official URL: https://doi.org/10.30574/wjarr.2025.25.3.0926
Uncontrolled Keywords: Inequality Problem; Kuhn-Tucker; Effective Constraints; Complimentary Slackness; Necessary Conditions; Cardinality
Depositing User: Editor WJARR
Date Deposited: 22 Jul 2025 15:40
Related URLs:
URI: https://eprint.scholarsrepository.com/id/eprint/1456