Discrete fixed point analysis and its applications

. We formulate and prove several general theorems on existence of fixed (and zero) points for mappings defined on discrete sets in finite-dimensional Euclidean spaces. One of the major conditions imposed on the mappings under consideration is that of local gross direction preservation. In addition,...

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Veröffentlicht in:Journal of fixed point theory and applications 2009-12, Vol.6 (2), p.351-371
1. Verfasser: Yang, Zaifu
Format: Artikel
Sprache:eng
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Zusammenfassung:. We formulate and prove several general theorems on existence of fixed (and zero) points for mappings defined on discrete sets in finite-dimensional Euclidean spaces. One of the major conditions imposed on the mappings under consideration is that of local gross direction preservation. In addition, economic applications are discussed.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-009-0130-9