On strong pseudomonotonicity and (semi)strict quasimonotonicity
نویسندگان
چکیده
منابع مشابه
A geometrical insight on pseudoconvexity and pseudomonotonicity
Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.
متن کاملGeneralized Monotone Nonsmooth Maps
Recent characterizations of various types of differentiable generalized monotone maps by Karamardian– Schaible–Crouzeix and their strengthened versions by Crouzeix–Ferland are extended to the nonsmooth case. For nondifferentiable locally Lipschitz maps necessary and/or sufficient conditions for quasimonotonicity, pseudomonotonicity and strict/ strong pseudomonotonicity are derived. To accomplis...
متن کاملOn Vector Equilibrium Problem with Generalized Pseudomonotonicity
In this paper, first a short history of the notion of equilibrium problem in Economics and Nash$acute{'}$ game theory is stated. Also the relationship between equilibrium problem among important mathematical problems like optimization problem, nonlinear programming, variational inequality problem, fixed point problem and complementarity problem is given. The concept of generalized pseudomonoton...
متن کاملon semihypergroups and hypergroups
in this thesis, first the notion of weak mutual associativity (w.m.a.) and the necessary and sufficient condition for a $(l,gamma)$-associated hypersemigroup $(h, ast)$ derived from some family of $lesssim$-preordered semigroups to be a hypergroup, are given. second, by proving the fact that the concrete categories, semihypergroups and hypergroups have not free objects we will introduce t...
15 صفحه اولSemistrict G-Preinvexity and Optimality in Nonlinear Programming
and Applied Analysis 3 Proof. Let x, y ∈ K. From the assumption of f(y+η(x, y)) ≤ f(x), when λ = 0, 1, we can know that f (y + λη (x, y)) ≤ G −1 (λG (f (x)) + (1 − λ)G (f (y))) . (9) Then, there are two cases to be considered. (i) Iff(x) ̸ = f(y), then by the semistrictG-preinvexity of f, we have the following:
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 1995
ISSN: 0022-3239,1573-2878
DOI: 10.1007/bf02193065