Abstract
In this note, the concept of essential component of optimum solutions is introduced. We obtain necessary and sufficient conditions for the existence of one essential component or one essential optimum solution in the optimum solution set of the optimization problems.
Similar content being viewed by others
References
Yu, P. L., Multiple-Criteria Decision Making: Concepts, Techniques, and Extensions, Plenum Press, New York, New York, 1985.
Yu, J., Essential Weak Efficient Solutions in Multiobjective Optimization Problems, Journal of Mathematical Analysis and Application, Vol. 166, pp. 230–235, 1992.
Beer, G., On a Generic Optimization Theory of Kenderov, Nonlinear Analysis: Theory, Methods, Applications, Vol. 12, pp. 647–655, 1988.
Kun, H., Tanino, T., and Tanaka, M., Sensitivity Analysis in Vector Optimization, Journal of Optimization Theory and Applications, Vol. 89, pp. 713–730, 1996.
Engelking, R., General Topology, Heldermann, Verlag, Berlin, Germany, 1989.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Luo, Q. Essential Component and Essential Optimum Solution of Optimization Problems. Journal of Optimization Theory and Applications 102, 433–438 (1999). https://doi.org/10.1023/A:1021740709876
Issue Date:
DOI: https://doi.org/10.1023/A:1021740709876