On fixed point theory in topological posets, extended quasi-metric spaces and an application to asymptotic complexity of algorithms

In this paper we present a few fixed point results in the framework of topological posets. To this end, we introduce an appropriate notion of completeness and order-continuity. Special attention is paid to the case that the topology of the topological poset is induced by an extended quasi-metric. Fi...

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Bibliographic Details
Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 2015; no. 1; pp. 1 - 13
Main Authors:	Shahzad, Naseer, Valero, Oscar, Alghamdi, Mohammed A, Alghamdi, Maryam A
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 06.10.2015 Springer Nature B.V
Subjects:	Algorithms Analysis Applications of Mathematics Asymptotic properties Complexity Differential Geometry Fixed points (mathematics) Mathematical analysis Mathematical and Computational Biology Mathematics Mathematics and Statistics New Challenges and Trends in Fixed Point Theory and Its Applications Run time (computers) Set theory Topology Upper bounds 68Q25 47H10 54E50 fixed point asymptotic complexity analysis topological poset Hausdorff 06A06 extended quasi-metric monotone 54H25 54F05
ISSN:	1687-1812, 1687-1812, 2730-5422
Online Access:	Get full text
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