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2 results

  • Random fixed point theorems for contractive type multifunctions

  • Ghulam Mustafa
  • Journal:
    Journal of the Australian Mathematical Society / Volume 78 / Issue 2 / April 2005
    Published online by Cambridge University Press:
    09 April 2009, pp. 211-220
    Print publication:
    April 2005
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  • Some new random coincidence point and random fixed point theorems for multivalued mappings in separable complete metric spaces are proved. The results presented in this paper are the stochastic versions of corresponding results of Chang and Peng and extend the result of the author.

  • Approximation of *-nonexpansive random multivalued operators on Banach spaces

  • Part of
  • Ismat Beg, A. R. Khan, N. Hussain
  • Journal:
    Journal of the Australian Mathematical Society / Volume 76 / Issue 1 / February 2004
    Published online by Cambridge University Press:
    09 April 2009, pp. 51-66
    Print publication:
    February 2004
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  • We establish the existence and approximation of solutions to the operator inclusion y ∈ Ty for deterministic and random cases for a nonexpansive and *-nonexpansive multivalued mapping T defined on a closed bounded (not necessarily convex) subset C of a Banach space. We also prover random fixed points and approximation results for*-nonexpansive random operators defined on an unbounded subject C of a uniformly convex Banach space.