Results 31 to 40 of about 1,231,124 (145)
Carpathian Journal of Mathematics, 2022 In this paper, we introduce the generalized Ekeland's variational principle in several forms. The general setting of our results includes a graphical metric structure and also employs a generalized $w$-distance.
P. Chaipunya +2 more
semanticscholar +1 more source
An extension of Ekeland's variational principle to locally complete spaces [PDF]
, 2007 We prove an extension of Ekeland's variational principle to locally complete spaces which uses subadditive, strictly increasing continuous functions as ...
García, C.L., García, A., Bosch, C.
core +1 more source
The density of extremal points in Ekeland's variational principle [PDF]
, 2007 In this paper, we investigate the density of extremal points appeared in Ekeland's variational principle. By introducing radial intersections of sets, we give a very general result on the density of extremal points in the framework of locally convex ...
Qiu, Jing-Hui
core +1 more source
Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces
Abstract and Applied Analysis, 2012 Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are ...
Jiang Zhu +3 more
doaj +1 more source
Abstract and Applied Analysis, 2011 By applying hybrid inclusion and disclusion systems (HIDS), we establish several vectorial variants of system of Ekeland's variational principle on topological vector spaces, some existence theorems of system of parametric vectorial quasi-equilibrium ...
Wei-Shih Du
doaj +1 more source
A generalized form of Ekeland’s variational principle
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle.
Farkas Csaba
doaj +1 more source
Existence of solution for a Kirchhoff type problem involving the fractional p-Laplace operator
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This paper is concerned with the existence of solutions to a Kirchhoff type problem involving the fractional $p$-Laplacian operator. We obtain the existence of solutions by Ekeland's variational principle.
Wenjing Chen, Shengbing Deng
doaj +1 more source
Ekeland’s variational principle in weak and strong systems of arithmetic [PDF]
Selecta Mathematica, 2019 We analyze Ekeland’s variational principle in the context of reverse mathematics. We find that that the full variational principle is equivalent to Π11-CA0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
David Fernández-Duque +2 more
semanticscholar +1 more source
Abstract and Applied Analysis, 2014 This paper is devoted to the stochastic optimal control problems for systems governed by forward-backward stochastic Volterra integral equations (FBSVIEs, for short) with state constraints.
Qingmeng Wei, Xinling Xiao
doaj +1 more source
The Multiplicity of Nontrivial Solutions for a New px-Kirchhoff-Type Elliptic Problem
Journal of Function Spaces, 2021 In the paper, we study the existence of weak solutions for a class of new nonlocal problems involving a px-Laplacian operator. By using Ekeland’s variational principle and mountain pass theorem, we prove that the new px-Kirchhoff problem has at least two
Chang-Mu Chu, Yu-Xia Xiao
doaj +1 more source