FIXED POINTS AND BEST APPROXIMATIONS FOR MEASURABLE MULTIFUNCTIONS WITH STOCHASTIC DOMAIN

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Published: Sep 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4542
Keywords:
Measurable multifunction stochastic domain measurable selection Souslin family Hausdorff continuity random fixed point

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NIKOLAOS S. PAPAGEORGIOU
Florida Institute of Technology, Department of Applied Mathematics, 150 W. University Blvd., Melbourne, Florida 32901-6988, U.S.A.

Abstract




In this paper we prove a best approximat10n and a ran­ dom fixed point theorems for Hausdorff continuous muJtifunctions with stochastic domain. Our result extend several earlier ones existmg in the literature. We .also show that in Engl [3] some of the hypotheses can be weakened.




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How to Cite
PAPAGEORGIOU, N. S. (1992). FIXED POINTS AND BEST APPROXIMATIONS FOR MEASURABLE MULTIFUNCTIONS WITH STOCHASTIC DOMAIN. Tamkang Journal of Mathematics, 23(3), 197–203. https://doi.org/10.5556/j.tkjm.23.1992.4542
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Vol. 23 No. 3 (1992)
Section
Papers
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