IJPAM: Volume 106, No. 1 (2016)
ON A NEW FIXED POINT THEOREM ON HILBERT
SPACES VIA THE MOUNTAIN PASS LEMMA AND
APPLICATIONS TO ELLIPTIC BOUNDARY
VALUE PROBLEMS
SPACES VIA THE MOUNTAIN PASS LEMMA AND
APPLICATIONS TO ELLIPTIC BOUNDARY
VALUE PROBLEMS
Ayadi Souad
, Toufik Moussaoui
, Donal O'Regan
Laboratory of Physical Mechanics and Mathematical Modeling
Medea, ALGERIA
Laboratory of Fixed Point Theory and Applications
Department of Mathematics
E.N.S. Kouba, Algiers, ALGERIA
Laboratory of Fixed Point Theory and Applications
Department of Mathematics
E.N.S. Kouba, Algiers, ALGERIA
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland
Galway, IRELAND
, Toufik Moussaoui, Donal O'Regan
Laboratory of Physical Mechanics and Mathematical Modeling
Medea, ALGERIA
Laboratory of Fixed Point Theory and Applications
Department of Mathematics
E.N.S. Kouba, Algiers, ALGERIA
Laboratory of Fixed Point Theory and Applications
Department of Mathematics
E.N.S. Kouba, Algiers, ALGERIA
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland
Galway, IRELAND
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.
Received: January 18, 2016
AMS Subject Classification:
Key Words and Phrases: fixed point theorem, potential operators
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DOI: 10.12732/ijpam.v106i1.16 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 1
Pages: 213 - 221
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This work is licensed under the Creative Commons Attribution International License (CC BY).
