A Class of SemilocalE-Preinvex Functions and Its Applications in Nonlinear Programming
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A kind of generalized convex set, called as local star-shapedE-invex set with respect toη,is presented, and some of its important characterizations are derived. Based on this concept, a new class of functions, named as semilocalE-preinvex functions, which is a generalization of semi-E-preinvex functions and semilocalE-convex functions, is introduced. Simultaneously, some of its basic properties are discussed. Furthermore, as its applications, some optimality conditions and duality results are established for a nonlinear programming.
2010 ◽
Vol 1
(3)
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pp. 31-39
2013 ◽
Vol 4
(1)
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pp. 1-10
2003 ◽
Vol 75
(2)
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pp. 221-232
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2005 ◽
Vol 2005
(1)
◽
pp. 109-124
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1987 ◽
Vol 10
(2)
◽
pp. 241-258
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