Results 31 to 40 of about 10,275,715 (164)
Complexity, Volume 2020, Issue 1, 2020., 2020 This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP). First, a necessary optimality condition for approximate quasi weak efficient solutions to VEP is established by utilizing the separation theorem with respect to the quasirelative interior of
Yameng Zhang +3 more
wiley +1 more source
A Novel Neurodynamic Approach to Constrained Complex-Variable Pseudoconvex Optimization
IEEE Transactions on Cybernetics, 2019 Complex-variable pseudoconvex optimization has been widely used in numerous scientific and engineering optimization problems. A neurodynamic approach is proposed in this paper for complex-variable pseudoconvex optimization problems subject to bound and ...
Na Liu, Sitian Qin
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A Unified Successive Pseudoconvex Approximation Framework [PDF]
IEEE Transactions on Signal Processing, 2015 In this paper, we propose a successive pseudoconvex approximation algorithm to efficiently compute stationary points for a large class of possibly nonconvex optimization problems.
Yang Yang, M. Pesavento
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On Generalized Strongly p‐Convex Functions of Higher Order
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem +5 more
wiley +1 more source
Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$
Matematychni Studii, 2020 The concepts of the pseudostarlikeness of order $\alpha\in [0,\,1)$ and type $\beta\in (0,\,1]$ and the pseudoconvexity of order $\alpha$ and type $\beta$ are introduced for Dirichlet series with null abscissa of absolute convergence.
M. Sheremeta
semanticscholar +1 more source
Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains [PDF]
Mathematische Zeitschrift, 2017 We prove that for a strongly pseudoconvex domain $$D\subset \mathbb {C}^n$$D⊂Cn, the infinitesimal Carathéodory metric $$g_C(z,v)$$gC(z,v) and the infinitesimal Kobayashi metric $$g_K(z,v)$$gK(z,v) coincide if z is sufficiently close to bD and if v is ...
Filippo Bracci, J. Fornæss, E. F. Wold
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Real-analytic coordinates for smooth strictly pseudoconvex CR-structures [PDF]
Mathematical Research Letters, 2019 For a smooth strictly pseudoconvex hypersurface in a complex manifold, we give a necessary and sufficient condition for being CR-diffeomorphic to a real-analytic CR manifold.
I. Kossovskiy, D. Zaitsev
semanticscholar +1 more source
On the Subdifferentials of Quasiconvex and Pseudoconvex Functions and Cyclic Monotonicity
Journal of Mathematical Analysis and Applications, 1999 Let \(X\) be a Banach space and \(f:X\to \mathbb{R}\cup\{\infty\}\) be a (lower semi)-continuous function. It is well known that convexity properties of \(f\) can be characterized by different types of monotonicity of the Clarke subdifferential mapping \(\partial f\).
Nicolas Hadjisavvas, Aris Daniilidis
openaire +2 more sources
On the Kähler-Einstein metric at strictly pseudoconvex points [PDF]
Complex Variables and Elliptic Equations, 2018 We prove a boundary regularity result for the complete Kähler-Einstein metrics of negative Ricci curvature near strictly pseudoconvex boundary points, and we deduce the asymptotic behavior of their holomorphic bisectional curvatures near such points ...
S. Gontard
semanticscholar +1 more source
On close-to-pseudoconvex Dirichlet series
Matematychni StudiiFor a Dirichlet series of form $F(s)=\exp\{s\lambda_1\}+\sum\nolimits_{k=2}^{+\infty}f_k\exp\{s\lambda_k\}$ absolutely convergent in the half-plane $\Pi_0=\{s\colon \mathop{\rm Re}s0$ for all $k\ge 2$.
O. Mulyava, M. Sheremeta, M.G. Medvediev
semanticscholar +1 more source