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- W4229062252 abstract "The concepts of strongly E -invex sets, strongly E -invex, strongly E -preinvex, and strongly pseudo E -preinvex functions are introduced in this paper. We have included several non-trivial examples to support our definitions. The family of strongly E -invex sets has been shown to form a vector space over R , and other interesting properties have been addressed. The epigraph of strongly E -preinvex function has been derived, as well as the relationship between the strongly E -preinvex function and the strongly pseudo E -preinvex function has been established. To show an important relationship between strongly E -invex and strongly E -preinvex functions, a new Condition A has been introduced. A nonlinear programming problem for strongly E -preinvex functions is explored as an application. Under a few conditions, it has been proved that the local minimum point is the global minimum for a nonlinear programming problem." @default.
- W4229062252 created "2022-05-08" @default.
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- W4229062252 date "2022-05-01" @default.
- W4229062252 modified "2023-09-27" @default.
- W4229062252 title "Nonlinear programming problem for strongly <i>E</i>-invex sets and strongly <i>E</i>-preinvex functions" @default.
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- W4229062252 doi "https://doi.org/10.1051/ro/2022064" @default.
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