Results 81 to 90 of about 359 (156)

Pontryagin´s principle for state-constrained boundary control problems of semilinear parabolic equations [PDF]

, 1997
This paper deals with state-constrained optimal control problems governed by semilinear parabolic equations. We establish a minimum principle of Pontryagin's type.
Casas Rentería, Eduardo
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Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle

, 2009
We present two basic lemmas on exact and approximate solutions of inclusions and equations in general spaces. Its applications involve Ekeland's principle, characterize calmness, lower semicontinuity and the Aubin property of solution sets in some ...
Kummer, Bernd
core   +1 more source

Maximum principle for a nonlinear size-structured model of fish and fry management

Nonlinear Analysis, 2018
This paper investigates the maximum principle for a nonlinear size-structured model that describes the optimal management of the fish resources taking into account harvesting the fish and putting the fry.
Rong Liu, Guirong Liu
doaj   +1 more source

Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions

, 2017
Revised versionIn this paper, we present some implicit function theorems for set-valued mappings between Fréchet spaces. The proof relies on Lebesgue's Dominated Convergence Theorem and on Ekeland's variational principle.
Van Ngai Huynh, Huynh, van Ngai, Théra, Michel, Michel Théra   +3 more
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The Ekeland's Variational Principle

, 2022
The present work has as target audience all students who have experience in Real Analysis. Some introductory results of Functional Analysis will be presented, as some definitions and results in metric spaces, having as main result: Ekeland’s ...
Azevedo, Mateus Vinicius Santos de
core  

The strong Ekeland variational principle

Journal of Mathematical Analysis and Applications, 2006
The main purpose of the present paper is to establish an extension of Ekeland's variational principle. The author is mainly concerned with quasiconvex proper and lower semicontinuous functions defined on a reflexive Banach space. In the last part of the paper this result is generalized in the framework of compact metric spaces endowed with a \(\tau ...
openaire   +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

Nash-type equilibria and periodic solutions to nonvariational systems

Advances in Nonlinear Analysis, 2014
The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
doaj   +1 more source

A generalization of the Ekeland variational principle

, 2020
In this short communication, we present a generalization of the Ekeland variational principle. The main result is established through standard tools of functional analysis and calculus of variations. The novelty here is a result involving the second Gâteaux variation of the functional in question.
openaire   +2 more sources

The Variational Principle and Fixed Point Theorems in Certain Topological Spaces

, 1996
The main purpose of this paper is to introduce the concept ofF-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point ...
Fang, Jin-Xuan
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