INVARIANT RANDOM APPROXIMATION IN NONCONVEX DOMAIN

R. Shrivastava, H. K. Nashine, C. L. Dewangan

Abstract


Random fixed point results in the setup of compact and weakly compact domain of Banach spaces which is not necessary starshaped have been obtained in the present work. Invariant random approximation results have also been determined asits application. In this way, random version of invariant approximation results due toMukherjee and Som [13] and Singh [17] have been given.

DOI : http://dx.doi.org/10.22342/jims.15.2.45.69-77


Keywords


Contractive jointly continuous family, Random best approximation, Random ¯xed point, Random operator

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DOI: https://doi.org/10.22342/jims.15.2.45.69-77

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Journal of the Indonesian Mathematical Society
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