Optimality Conditions and Duality Involving Arcwise Connected and Generalized Arcwise Connected Functions

D. Bhatia and A. Mehra
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D. Bhatia: University of Delhi
A. Mehra: Acharya Narendra Dev College, Gobindpuri, Kalkaji

Journal of Optimization Theory and Applications, 1999, vol. 100, issue 1, No 9, 194 pages

Abstract: Abstract Some properties of arcwise connected functions in terms of their directional derivatives are investigated. These properties are then utilized to establish necessary and sufficient optimality conditions for scalar-valued nonlinear programming problems. Mond–Weir type duality results are also proved.

Keywords: Arcwise connected sets; arcwise connected functions; Q-connected functions; P-connected functions; directional derivative with respect to an arc (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1021725200423

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