INVARIANT RANDOM APPROXIMATION IN NONCONVEX DOMAIN

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

doi:10.22342/jims.15.2.45.69-77

R. Shrivastava ⁽¹⁾ , H. K. Nashine ⁽²⁾ , C. L. Dewangan ⁽³⁾

(1) Department of Mathematics, Disha Institute of Managment and Technology, Satya Vihar, Gyanganga - Chandrakhuri Marg, Distt. Raipur - 492101(Chhattisgarh), India, India,

(2) Department of Mathematics, Disha Institute of Managment and Technology, Satya Vihar, Gyanganga - Chandrakhuri Marg, Distt. Raipur - 492101(Chhattisgarh), India, India,

(3) Department of Mathematics, Govt. Chhattisgarh P G College, Raipur - 492101(Chhattisgarh), India, India

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

Issue
Volume 15 Number 2 (October 2009)

Submitted
April 29, 2012

Accepted
May 7, 2012

Published
May 7, 2012

Keywords:

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

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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

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Authors

R. Shrivastava

Department of Mathematics, Disha Institute of Managment and Technology, Satya Vihar, Gyanganga - Chandrakhuri Marg, Distt. Raipur - 492101(Chhattisgarh), India

penulis@jims-a.org (Primary Contact)

H. K. Nashine

Department of Mathematics, Disha Institute of Managment and Technology, Satya Vihar, Gyanganga - Chandrakhuri Marg, Distt. Raipur - 492101(Chhattisgarh), India

C. L. Dewangan

Department of Mathematics, Govt. Chhattisgarh P G College, Raipur - 492101(Chhattisgarh), India

Shrivastava, R., Nashine, H. K., & Dewangan, C. L. (2012). INVARIANT RANDOM APPROXIMATION IN NONCONVEX DOMAIN. Journal of the Indonesian Mathematical Society, 15(2), 69–77. https://doi.org/10.22342/jims.15.2.45.69-77