Results 1 to 10 of about 122 (116)

Optimality for set-valued optimization in the sense of vector and set criteria [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems.
Xiangyu Kong, GuoLin Yu, Wei Liu
doaj   +2 more sources

A new discrete theory of pseudoconvexity [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2023
Recently geometric hypergraphs that can be defined by intersections of pseudohalfplanes with a finite point set were defined in a purely combinatorial way.
Balázs Keszegh
doaj   +5 more sources

A note on strong pseudoconvexity

open access: yesCentral European Journal of Mathematics, 2008
Vsevolod Ivanov
exaly   +2 more sources

A class of new type unified non-differentiable higher order symmetric duality theorems over arbitrary cones under generalized assumptions [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
In the present paper, a newly combined higher-order non-differentiable symmetric duality in scalar-objective programming over arbitrary cones is formulated.
Dubey Ramu   +4 more
doaj   +1 more source

Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series

open access: yesUniversal Journal of Mathematics and Applications, 2023
Let $p\in {\Bbb N}$, $s=(s_1,\ldots,s_p)\in {\Bbb C}^p$, $h=(h_1,\ldots,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,\ldots,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},\ldots,\lambda^{(p)}_{n_p})$ are such that $0<\lambda^{(j)}_1 ...
Myroslav Sheremeta
doaj   +1 more source

On Dirichlet series similar to Hadamard compositions in half-plane

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura   +2 more
doaj   +1 more source

Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$

open access: yesМатематичні Студії, 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.M. Sheremeta
doaj   +1 more source

Characterization of LU-efficiency and saddle-point criteria for F-approximated multiobjective interval-valued variational problems

open access: yesResults in Control and Optimization, 2021
This paper aims to find a solution of interval uncertainty to multiobjective variational problems. For this, we consider an interval-valued multiobjective variational problem.
Shalini Jha   +2 more
doaj   +1 more source

Duality results for interval-valued semiinfinite optimization problems with equilibrium constraints using convexificators

open access: yesJournal of Inequalities and Applications, 2022
This paper deals with the study of interval-valued semiinfinite optimization problems with equilibrium constraints (ISOPEC) using convexificators. First, we formulate Wolfe-type dual problem for (ISOPEC) and establish duality results between the (ISOPEC)
K. K. Lai   +4 more
doaj   +1 more source

Pseudostarlike and pseudoconvex solutions of a differential equation with exponential coefficients

open access: yesМатематичні Студії, 2021
Dirichlet series $F(s)=e^{s}+\sum_{k=1}^{\infty}f_ke^{s\lambda_k}$ with the exponents ...
M.M. Sheremeta
doaj   +1 more source

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