Krasnosel'skii-type fixed-set results under weak topology circumstances and applications


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	Krasnosel'skii-type fixed-set results under weak topology circumstances and applications


	Fixed Point Theory, Volume 18, No. 1, 2017, 27-36, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.03 Authors: Afif Ben Amar, Mohamed Boumaiza and Sana Hadj Amor Abstract: In this paper, using the technique of measure of weak noncompacteness, we prove some fixed set results of Krasnosel'skii type for the sum of two multivalued operators in the setting of weak topology, without the assumption of the convexity of their common domain. Applications to the theory of self-similarity are also given. Key Words and Phrases: Krasnosel'skii theorem, fixed set, weak topology, self-similarity theory. 2010 Mathematics Subject Classification: 47H10, 47H09. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents