Mean Lipschitzian mappings.

Goebel, Kazimierz and Sims, Brailey (2010) Mean Lipschitzian mappings. In: Nonlinear Analysis And Optimization. Contemporary Mathematics, I: Non . American Mathematical Society, Providence, R.I., pp. 157-168. ISBN 0821848348

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    Lipschitz self mappings of metric spaces appear in many branches of mathematics. In this paper we introduce a modification of the Lipschitz condition which takes into account not only the mapping itself but also the behaviour a finite number of its iterates. We refer to such mappings as mean Lipschitzian. The study of this new class of mappings seems potentially interesting and leads to some new results in metric fixed point theory.

    Item Type: Book Section
    Additional Information: From a conference in celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays
    Uncontrolled Keywords: Lipschitzian mappings, contractions, nonexpansive mappings
    Subjects: 47-xx Operator theory > 47Hxx Nonlinear operators and their properties
    Faculty: UNSPECIFIED
    Depositing User: Mr Christopher Maitland
    Date Deposited: 07 Apr 2011 10:42
    Last Modified: 07 Apr 2011 10:42

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