Results 31 to 40 of about 172 (137)

On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition

Mathematical Modelling and Analysis, 2012
In the present paper, by using the direct variational method and the Ekeland variational principle, we study the existence of solutions for an elliptic system of p(x)-Kirchhoff-type under Neumann boundary condition and show the existence of a weak ...
Zehra Yucedag, Mustafa Avci, Rabil Mashiyev   +2 more
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Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications

Journal of Function Spaces and Applications, 2013
The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact ...
De-ning Qu, Cao-zong Cheng
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On a class of fractional p(., .)-Kirchhoff-Schrödinger system type

European Journal of Mathematics and Applications, 2023
In the present article, we study the existence of a weak solution to an elliptic system of Kirchhoff-Shrodinger type, driven by the fractional $p(.,.)$-Laplacian operator.
H. El-Houari, L.S. Chadli, H. Moussa
doaj  

Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

Mathematics, 2018
We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.
Eshagh Hashemi, Reza Saadati
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Ekeland Variational Principle and Some of Its Equivalents on a Weighted Graph, Completeness and the OSC Property

Axioms, 2023
We prove a version of the Ekeland Variational Principle (EkVP) in a weighted graph G and its equivalence to Caristi fixed point theorem and to the Takahashi minimization principle.
Basit Ali, Ştefan Cobzaş, Mokhwetha Daniel Mabula   +2 more
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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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New contributions for tripled fixed point methodologies via a generalized variational principle with applications

Alexandria Engineering Journal, 2022
This manuscript was built to generalize Ekeland variational principle for mixed monotone functions in the setting of partially ordered complete metric spaces.
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen   +2 more
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Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Using the mountain pass theorem combined with the Ekeland variational principle, we obtain at least two distinct, non-trivial weak solutions for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities.
Nguyen Thanh Chung
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Localization of Nash-type equilibria for systems with partial variational structure

Journal of Numerical Analysis and Approximation Theory, 2023
In this paper, we aim to generalize an existing result by obtaining localized solutions within bounded convex sets, while also relaxing specific initial assumptions.
Andrei Stan
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Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper, we consider the multiplicity of nontrivial solutions for a class of nonperiodic fourth-order equation with concave and convex nonlinearities.
Ruiting Jiang, Chengbo Zhai
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