Fixed point theorems for compact potential operators in Hilbert spaces


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	Fixed point theorems for compact potential operators in Hilbert spaces


	Fixed Point Theory, Volume 18, No. 2, 2017, 493-502, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.39 Authors: A. Boucenna, S. Djebali and T. Moussaoui Abstract: The aim of this paper is to present new fixed point theorems for compact potential operators in Hilbert spaces. A variational approach is used and applications to boundary value problems illustrate the existence results. Key Words and Phrases: Potential operator, critical points, fixed point theorem, boundary value problem. 2010 Mathematics Subject Classification: 34B15, 47G40, 47H10, 58E30. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents