Optimality Conditions in Vector Optimization

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Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the ...
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On Nonsmooth Constrained Optimization Involving Generalized Type-I Conditions.

Pp. 97-104 (8)

DOI: 10.2174/978160805110611001010097

Author(s): S. K. Mishra, J. S. Rautelay, Sanjay Oli


The goal of this paper is to obtain Kuhn-Tucker type necessary and sucient op- timality conditions for nonsmooth constrained optimization problems involving gen- eralized type-I functions on the objective and constraint functions involved in the problem. Further we study the duality results in the presence of the aforesaid weaker assumptions.


Type-I functions; Duality; Nonsmooth Constrained optimization.