Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces


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	Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces


	Fixed Point Theory, Volume 18, No. 1, 2017, 147-154, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.12 Authors: T. Cardinali, D. O'Regan and P. Rubbioni Abstract: We present a variety of fixed point theorems for multimaps having weakly closed graph. We state in turn Sadovskii, Mönch and Daher type theorems which improve recent results in the literature. With this in mind, we introduce the definition of Mönch-set. Key Words and Phrases: Mönch set, condensing multimap, fixed point theorem, measure of noncompactness, weakly closed graph. 2010 Mathematics Subject Classification: 47H10, 47H08, 47H04. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents