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Discrete fixed point analysis and its applications

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Abstract.

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.

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Authors and Affiliations

  1. Faculty of Business Administration, Yokohama National University, Yokohama, 240-8501, Japan

    Zaifu Yang

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  1. Zaifu Yang
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Correspondence to Zaifu Yang.

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Dedicated to Steve Smale on the occasion of his 80th birthday

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Yang, Z. Discrete fixed point analysis and its applications. J. Fixed Point Theory Appl. 6, 351–371 (2009). https://doi.org/10.1007/s11784-009-0130-9

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  • DOI: https://doi.org/10.1007/s11784-009-0130-9

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