Results 81 to 90 of about 585 (200)

Some eigenvalue problems involving the (p(x),q(x))-Laplacian

, 2022
In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of solutions applying two versions of Mountain Pass theorem,
Apaza, Juan Alcon
core  

The Strong Ekeland Variational Principle in Quasi-Pseudometric Spaces

Mathematics, 2023
Roughly speaking, Ekeland’s Variational Principle (EkVP) (J. Math. Anal. Appl. 47 (1974), 324–353) asserts the existence of strict minima of some perturbed versions of lower semicontinuous functions defined on a complete metric space. Later, Pando Georgiev (J. Math. Anal. Appl. 131 (1988), no. 1, 1–21) and Tomonari Suzuki (J. Math. Anal. Appl.
openaire   +3 more sources

Eigenvalues for a Neumann Boundary Problem Involving the p(x)-Laplacian

Advances in Mathematical Physics, 2015
We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator:  -Δp(x)u+e(x)|u|p(x)-2u=λa(x)f(u), in  Ω, ∂u/∂ν=0, on  ∂Ω.
Qing Miao
doaj   +1 more source

Ekeland's variational principle in vecter optimization [PDF]

, 2008
新潟大学博士（理学）新潟大学平成20年3月24日新大院博（理）第292号新大院博（理 ...
49925, 荒谷, 洋輔
core  

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
doaj   +1 more source

Variational Principles for Set-Valued Mappings with Applications to Multiobjective Optimization [PDF]

, 2007
This paper primarily concerns the study of general classes of constrained multiobjective optimization problems (including those described via set-valued and vector-valued cost mappings) from the viewpoint of modern variational analysis and generalized ...
Bao, Truong Q, Mordukhovich, Boris S
core   +1 more source

Concerning Kirk’s problem

Fixed Point Theory and Algorithms for Sciences and Engineering
This paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples.
Hamid Mottaghi Golshan
doaj   +1 more source

The Viability Kernel Algorithm for Computing Value Functions of Infinite Horizon Optimal Control Problems [PDF]

, 1995
We characterize in this paper the epigraph of the value function of a discounted infinite horizon optimal control problem as the viability kernel of an auxiliary differential inclusion. Then the viability kernel algorithm applied to this problem provides
Aubin, J.-P., Frankowska, H.
core  

A strong vectorial Ekeland's variational principle

, 2007
Yousuke Araya
openalex   +2 more sources

Ekeland Variational Principle in asymmetric locally convex spaces

Topology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source