Abstract In this paper, we introduce a new concept of sets and class functions called E -univex functions, respectively. For an -differentiable function, the -univexity is introduced by generalizing several concepts generalized convexity earlier defined into optimization theory. addition, some properties are investigated. Further, also introduced. Then, sufficiency so-called -Karush–Kuhn–Tucker...

where An is the n-fold product of the σ-algebra A of subsets of a given set X , Fi,Gi, i∈ p ≡ {1,2, . . . , p}, and Hj , j ∈ q, are real-valued functions defined on An, and for each i∈ p, Gi(S) > 0 for all S∈An such that Hj(S) ≤ 0, j ∈ q. This problem was considered previously in the companion paper [7] where a survey of currently available optimality and duality results for minmax fractional s...

leprosy is one of the oldest diseases of the country and may have been brought over to this country from egypt in ancient times. leprosy is mose frequent in the province of tehran, east azarbaijan, guilan and mazandaran (43 per km2) than other part of the country (13-18 per km2).the incidence of leprosy is recorded at 7.7 per thousand and 35.2 per thousand in the southern and northern part of t...

background: micropatterning is becoming a powerful tool for studying cells in vitro. this method not only uses very small amount of material but also mimic the microenvironment structure present in living tissues better than flask culturing techniques. in previous studies using micropatterning of extracellular matrix proteins on glass surfaces, the rate of protein detachment from the surface wa...