CONE CONVEX AND RELATED FUNCTIONS IN OPTIMIZATION OVER TOPOLOGICAL VECTOR SPACES

S. K. Suneja and Meetu Bhatia ()
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S. K. Suneja: Department of Mathematics, Miranda House, University of Delhi, Delhi-110007, India
Meetu Bhatia: Department of Mathematics, University of Delhi, Delhi-110007, India

Asia-Pacific Journal of Operational Research (APJOR), 2007, vol. 24, issue 06, 741-754

Abstract: In this paper cone convex and related functions have been studied. The concept of cone semistrictly convex functions on topological vector spaces is introduced as a generalization of semistrictly convex functions. Certain properties of these functions have been established and their interrelations with cone convex and cone subconvex functions have been explored. Assuming the functions to be cone subconvex, sufficient optimality conditions are proved for a vector valued minimization problem over topological vector spaces, involving Gâteaux derivatives. A Mond-Weir type dual is associated and weak and strong duality results are proved.

Keywords: Vector optimization; topological vector spaces; cones; cone convex functions; optimality; duality (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0217595907001504

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