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Fixed points of α-nonexpansive mappings

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PL
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PL
This paper is connected with the theory of a-nonexpansive mappings, which were introduced by K. Goebel and M. A. J. Pineda in 2007. These mappings are a natural generalisation of nonexpansive mappings from the point of view of the fixed point theory. In particular, they proved that in Banach spaces all α = (α1,..., αn) -nonexpansive mappings with α1 big enough, namely α1≥2 (1/1-n), have minimal displacement equal to zero. This paper introduces some new results connected with this problem.
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online
2016-02-17
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bwmeta1.element.ojs-nameId-6e3e8ea9-5a94-37a7-828b-e6cd5da23db6-year-2016-article-5733
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