Results 111 to 120 of about 343 (158)

Fixed-Point Results and the Ekeland Variational Principle in Vector B-Metric Spaces

Axioms
In this paper, we extend the concept of b-metric spaces to the vectorial case, where the distance is vector-valued, and the constant in the triangle inequality axiom is replaced by a matrix. For such spaces, we establish results analogous to those in the
Radu Precup, Andrei Stan
doaj   +1 more source

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

Completeness in quasi-metric spaces and Ekeland Variational Principle

Topology and its Applications, 2011
The author establishes a quasi-metric version of the Ekeland variational principle and studies its connections with the completeness properties of the underlying quasi-metric space. The equivalence with Caristi-Kirk's fixed point theorem and a proof of Clarke's fixed point theorem for directional contractions within this framework are also investigated.
openaire   +1 more source

On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces

, 2015
KARAPINAR, ERDAL/0000-0002-6798-3254; Romaguera, Salvador/0000-0001-7857-6139We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle.
Karapinar, Erdal, Karapınar, Erdal, Romaguera, Salvador   +2 more
core   +1 more source

Multiple solutions for Kirchhoff type problem near resonance

Electronic Journal of Differential Equations, 2015
Based on Ekeland's variational principle and the mountain pass theorem, we show the existence of three solutions to the Kirchhoff type problem $$\displaylines{ -\Big(a+b\int_{\Omega}|\nabla u|^2dx \Big) \Delta u =b \mu u^3+f(x,u)+h(x), \quad\text{in
Shu-Zhi Song, Chun-Lei Tang, Shang-Jie Chen   +2 more
doaj  

Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]

ScientificWorldJournal, 2014
Sun G, Mai A.
europepmc   +1 more source

Systems of Generalized Quasivariational Inclusion Problems with Weak Continuity and Weak Convexity and Variants of Set-valued Ekeland’s Variational Principle

, 2011
[[abstract]]An existence theorm of systems of generalized quasivariational inclusion problems with very weak continuity and convexity assumptions is proven.
L. J. Lin; P.H.Sach
core  

Existence and multiplicity of solutions for nonhomogeneous Klein-Gordon-Maxwell equations

Electronic Journal of Differential Equations, 2015
This article concerns the nonhomogeneous Klein-Gordon-Maxwell equation $$\displaylines{ -\Delta u+u-(2\omega +\phi)\phi u=|u|^{p-1}u +h(x), \quad\text{in }\mathbb{R}^3,\cr \Delta \phi=(\omega +\phi)u^2,\quad\text{in }\mathbb{R}^3, }$$ where ...
Liping Xu, Haibo Chen
doaj  

Existence and multiplicity of solutions to triharmonic problems

Electronic Journal of Differential Equations
The authors consider the triharmonic equation $$ (-\Delta)^3u+c_1\Delta^2 u+c_2\Delta u=h(x)|u|^{p-2} u+g(x,u) $$ in $\Omega$, where $p\in(1,2)$, subject to Navier boundary conditions.
Qifan Wei, Xuemei Zhang
doaj  

On some fixed point results using CG simulation functions via w-distance with applications. [PDF]

Heliyon
Atallaoui S, Hasan F, Shatanawi W, Mustafa Z, Tallafha A.   +4 more
europepmc   +1 more source