On a new fixed point theorem on Hilbert spaces via the mountain pass lemma and applications to elliptic boundary value problems

Ayadi Souad; Toufik Moussaoui; Donal O'Regan

doi:10.12732/ijpam.v106i1.16

On a new fixed point theorem on Hilbert spaces via the mountain pass lemma and applications to elliptic boundary value problems

Ayadi Souad
, Toufik Moussaoui
, Donal O'Regan

Mathematics

Laboratory of Physical Mechanics and Mathematical Modeling Medea
E.N.S. Kouba

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper we present a new fixed point theorem in Hilbert spaces. Using a suitable critical point theorem we provide conditions under which potential operators have a fixed point. An application is given to illustrate the theory.

Original language	English
Pages (from-to)	213-221
Number of pages	9
Journal	International Journal of Pure and Applied Mathematics
Volume	106
Issue number	1
DOIs	https://doi.org/10.12732/ijpam.v106i1.16
Publication status	Published - 2016

Keywords

Fixed point theorem
Potential operators

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10.12732/ijpam.v106i1.16

Cite this

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title = "On a new fixed point theorem on Hilbert spaces via the mountain pass lemma and applications to elliptic boundary value problems",

abstract = "In this paper we present a new fixed point theorem in Hilbert spaces. Using a suitable critical point theorem we provide conditions under which potential operators have a fixed point. An application is given to illustrate the theory.",

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AB - In this paper we present a new fixed point theorem in Hilbert spaces. Using a suitable critical point theorem we provide conditions under which potential operators have a fixed point. An application is given to illustrate the theory.

KW - Fixed point theorem

KW - Potential operators

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DO - 10.12732/ijpam.v106i1.16

M3 - Article

AN - SCOPUS:84957890053

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VL - 106

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JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

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On a new fixed point theorem on Hilbert spaces via the mountain pass lemma and applications to elliptic boundary value problems

Abstract

Keywords

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