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Random fixed point theorems for Caristi type random operators

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Abstract

We iteratively generate a sequence of measurable mappings and study necessary conditions for its convergence to a random fixed point of random nonexpansive operator. A random fixed point theorem for random nonexpansive operator, relaxing the convexity condition on the underlying space, is also proved. As an application, we obtained random fixed point theorems for Caristi type random operators.

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Authors and Affiliations

  1. Centre for Advanced Studies in Mathematics and Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan

    Ismat Beg & Mujahid Abbas

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  1. Ismat Beg
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  2. Mujahid Abbas
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Correspondence to Ismat Beg.

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Beg, I., Abbas, M. Random fixed point theorems for Caristi type random operators. J. Appl. Math. Comput. 25, 425–434 (2007). https://doi.org/10.1007/BF02832367

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  • DOI: https://doi.org/10.1007/BF02832367

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