Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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RANDOM FIXED POINT THEOREMS FOR CARISTI TYPE RANDOM OPERATORS

  • Beg, Ismat (Centre for Advanced Studies in Mathematics and Department of Mathematics, Lahore University of Management Sciences) ;
  • Abbas, Mujahid (Centre for Advanced Studies in Mathematics and Department of Mathematics, Lahore University of Management Sciences)
  • Published : 2007.09.30

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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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