Results 1 to 10 of about 112 (54)

Multiple solutions for a singular quasilinear elliptic system. [PDF]

ScientificWorldJournal, 2013
We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system , , , , , where , , , , , . The functions , , , , , , and satisfy some suitable conditions. We will prove that the problem has at least two nontrivial
Chen L, Chen C, Xiu Z.
europepmc   +2 more sources

Maximum principle for a stochastic delayed system involving terminal state constraints. [PDF]

J Inequal Appl, 2017
We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state is constrained in a convex set.
Wen J, Shi Y.
europepmc   +2 more sources

A generalization of Ekeland's variational principle by using the τ-distance with its applications. [PDF]

J Inequal Appl, 2017
In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated.
Farajzadeh AP, Plubtieng S, Hoseinpour A.   +2 more
europepmc   +2 more sources

A New Equilibrium Version of Ekeland’s Variational Principle and Its Applications

Axioms, 2022
In this note, a new equilibrium version of Ekeland’s variational principle is presented. It is a modification and promotion of previous results. Subsequently, the principle is applied to discuss the equilibrium points for binary functions and the fixed ...
Yuqiang Feng, Juntao Xie, Bo Wu
doaj   +1 more source

New Generalized Ekeland’s Variational Principle, Critical Point Theorems and Common Fuzzy Fixed Point Theorems Induced by Lin-Du’s Abstract Maximal Element Principle

Axioms, 2021
In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, maximal element theorem, generalized Ekeland’s variational principle and common (fuzzy) fixed ...
Junjian Zhao, Wei-Shih Du
doaj   +1 more source

Existence results for a sublinear second order Dirichlet boundary value problem on the half-line [PDF]

Opuscula Mathematica, 2020
In this paper we study the existence of nontrivial solutions for a boundary value problem on the half-line, where the nonlinear term is sublinear, by using Ekeland's variational principle and critical point theory.
Dahmane Bouafia, Toufik Moussaoui
doaj   +1 more source

Generalized Ekeland’s variational principle with applications

Journal of Inequalities and Applications, 2019
By using the concept of Γ-distance, we prove EVP (Ekeland’s variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m spaces with Γ-distances.
Eshagh Hashemi, Reza Saadati, Choonkil Park   +2 more
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On Ekeland’s Variational Principle in Rectangular bmertic Spaces

Journal of Harbin University of Science and Technology, 2020
Ekeland′s variational principle plays an important role in fixed point theory. It has applications in many fields such as optimization theory, control theory, critical point theory and others.
HUANG Shuai, CHEN Lili, LIU Xin
doaj   +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, Lei Wei, Yeol Je Cho, Cheng Cheng Zhu   +3 more
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Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems

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