Results 111 to 120 of about 465 (165)

Ekeland type variational principle for set-valued maps in quasi-metric spaces with applications

, 2019
In this paper, we derive a fixed point theorem, minimal element theorems and Ekeland type variational principle for set-valued maps with generalized variable set relations in quasi-metric spaces.
Ansari, Q.H., Sharma, P.K.
core  

Variational inclusions problems with applications to Ekeland variational principle ,fixed point and optimization problems

, 2011
[[abstract]]In this paper, we prove the existence theorems of two types of systems of variational inclusions problem. From these existence results, we establish Ekeland’s variational principle on topological vector space, existence theorems of common ...
L. J. Lin
core  

Variational principles in quasi-uniform spaces and quasi-gauge spaces

International audienceIn this article, we obtain an extension of the Ekeland variational principle in quasi-uniform spaces. Since the Ekeland variational principle is a type of perturbed optimization problem, the perturbations do not need to satisfy the ...
Soubeyran, A., Lotfi, S., Zafarani, J., Fakhar, M.   +3 more
core   +1 more source

Some fixed point theorems in generating space of b-quasi-metric family. [PDF]

Springerplus, 2016
Kumari PS, Sarwar M.
europepmc   +1 more source

Pontryagin Maximum Principle for Optimal Control of Variational Inequalities

, 1999
In this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle.
Housnaa Zidani, Maitine Bergounioux
core  

Group invariant variational principles

In this paper we introduce a group invariant version of the wellknown Ekeland variational principle. To achieve this, we defne the concept of convexity with respect to a group and establish a version of the theorem within this framework. Additionally, we
Falcó, Javier, Isert, Daniel
core   +2 more sources

Travelling solitary waves for boson stars

Electronic Journal of Differential Equations, 2019
In this article, we study the pseudo-relativistic Hartree equation $$ i\partial_{t}\psi=(\sqrt{-\Delta+m^2}-m)\psi -(\frac{e^{-\mu|x|}}{4\pi|x|}\ast|\psi|^2)\psi,\quad \text{on }\mathbb{R}^3, $$ which describes the dynamics of pseudo-relativistic ...
Guoqing Zhang, Ningning Song
doaj  

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]

Calc Var Partial Differ Equ
Ghosh S, Kumar V, Ruzhansky M.
europepmc   +1 more source

Minimax theorems on C1 manifolds via Ekeland variational principle

Abstract and Applied Analysis, 2003
Mabel Cuesta
doaj   +1 more source

Towards Nonlinearity: The <i>p</i>-Regularity Theory. [PDF]

Entropy (Basel)
Bednarczuk E, Brezhneva O, Leśniewski K, Prusińska A, Tret'yakov AA.   +4 more
europepmc   +1 more source