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eISSN: 2581-9615 || CODEN: WJARAI || Impact Factor 8.2 ||  CrossRef DOI

Research and review articles are invited for publication in March 2026 (Volume 29, Issue 3) Submit manuscript

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

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

Theresa Ebele Efor * and Chiamaka Nnenna Chijioke

Department of Industrial Mathematics and Applied Statistics, Faculty of Science, Ebonyi State University, Abakaliki, Nigeria.  

Review Article

World Journal of Advanced Research and Reviews, 2025, 25(03), 2055-2061

Article DOI: 10.30574/wjarr.2025.25.3.0926

DOI url: https://doi.org/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

https://wjarr.com/sites/default/files/fulltext_pdf/WJARR-2025-0926.pdf

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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(3), 2055-2061. Article DOI: https://doi.org/10.30574/wjarr.2025.25.3.0926

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