Department of Industrial Mathematics and Applied Statistics, Faculty of Science, Ebonyi State University, Abakaliki, Nigeria.
World Journal of Advanced Research and Reviews, 2025, 25(03), 2055-2061
Article DOI: 10.30574/wjarr.2025.25.3.0926
Received on 14 February 2025; revised on 23 March 2025; accepted on 26 March 2025
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.
Inequality Problem; Kuhn-Tucker; Effective Constraints; Complimentary Slackness; Necessary Conditions; Cardinality
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Theresa Ebele Efor and Chiamaka Nnenna Chijioke. A review of solvability of inequality-constrained optimization problems with non-linear functions. World Journal of Advanced Research and Reviews, 2025, 25(03), 2055-2061. Article DOI: https://doi.org/10.30574/wjarr.2025.25.3.0926.
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