<i>N</i>-order uniformly noncreasy Banach lattices and the Suzuki nonexpansive-type mappings


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	N-order uniformly noncreasy Banach lattices and the Suzuki nonexpansive-type mappings


	Fixed Point Theory, Volume 18, No. 1, 2017, 127-136, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.10 Authors: Anna Betiuk-Pilarska Abstract: We show that if K is a nonempty weakly compact convex subset of weakly orthogonal N-order uniformly noncreasy Banach lattice and T:K → K satisfies condition (C) or is continuous and satisfies condition (C_λ) for some λ ∈ (0,1), then T has a fixed point. This generalizes a result from [2]. Key Words and Phrases: Nonexpansive mapping, Fixed point, Weakly orthogonal lattice, Mapping satisfying condition (C_λ), N-order uniformly noncreasy Banach lattice. 2010 Mathematics Subject Classification: 47H10, 46B20, 47H09. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents