Affiliation:
1. University of Łódź, Faculty of Mathematics and Computer Science, Łódź, Poland
Abstract
A new class of nonconvex smooth semi-infinite multiobjective fractional
programming problems with both inequality and equality constraints is
considered. We formulate and establish several parametric sufficient
optimality conditions for efficient solutions in such nonconvex vector
optimization problems under (?,?)-V-invexity and/or generalized (?,?)-V-invexity
hypotheses. With the reference to the said functions, we
extend some results of efficiency for a larger class of nonconvex smooth
semi-infinite multiobjective programming problems in comparison to those
ones previously established in the literature under other generalized
convexity notions. Namely, we prove the sufficient optimality conditions for
such nonconvex semi-infinite multiobjective fractional programming problems
in which not all functions constituting them have the fundamental property
of convexity, invexity and most generalized convexity notions.
Publisher
National Library of Serbia
Cited by
6 articles.
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