Abstract
In this paper, Fritz-John and Kuhn-Tucker type necessary and sufficient conditions are given for a weak minimum, a minimum and a strong minimum of a vector valued minimization problem. Mond-Weir type dual is associated and weak and strong duality results are proved by assuming the functions involved to be arcwise cone connected.
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References
Avriel M., and Zang I., ‘Generalized arcwise connected functions and characterizations of local-global minimum properties’, J. Optim. Theory and Appl., Vol. 32, No.4 (1980), 407–425.
Coladas L, Li Z., and Wang S., ‘Optimality Conditions for Multiobjective and Nonsmooth Minimization in Abstract Spaces’, Bull. Austral. Math Soc, 50 (1994), 205–218.
Hayashi M., and Komiya H., ‘Perfect Duality for Convexlike Programs’, J. Optim. Theory and Appl., Vol. 38 No.2 October 1982.
Lyall V., Suneja S.K., and Aggrawal Sunila, ‘Fritz-John Optimality and Duality for Nonconvex Programs’, J. Math. Anal. Appl., 212 (1997), 38–50.
Mukherjee R.N., ‘Arcwise Connected Functions and Applications in Multiobjective Optimization,’ Optimization, vol. 39 (1997), 151–163.
Sawaragi Y., Nakayama N., and Tanino T., Theory of Multiobjective Optimization’, Academic Press, New York, 1985.
Wang S., and Li Z., ‘Scalarization and Lagrange Duality in Multiobjective Optimization’, Optimization, Vol. 26 (1992), 315–324.
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Suneja, S.K., Aggarwal, S. Arcwise Cone Connected Functions and Optimality. OPSEARCH 37, 237–251 (2000). https://doi.org/10.1007/BF03398615
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DOI: https://doi.org/10.1007/BF03398615