Gap functions and error bounds for random generalized variational inequality problems

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• 作者：Suhel Ahmad Khan ; Javid Iqbal ; Yekini Shehu
• 关键词：49J40 ; 49J52 ; 90C30 ; random fuzzy mapping ; strongly h ; monotone ; gap function ; regularized gap function ; global error bound
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,612 KB
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• 作者单位：Suhel Ahmad Khan (1)
  Javid Iqbal (2)
  Yekini Shehu (3)
  
  1. Department of Mathematics, BITS-Pilani, Dubai Campus, P.O. Box 345055, Dubai, UAE
  2. School of Mathematical Sciences and Engineering, Baba Ghulam Shah Badshah University, Rajouri, Jammu and Kashmir, India
  3. Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

This paper is devoted to the study of gap functions of random generalized variational inequality problems in a fuzzy environment. Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we generalize the regularized gap functions proposed by Fukushima. Furthermore we study various properties of the generalized regularized gap functions in random fuzzy mappings and derive the global error bounds for random generalized variational inequality problems. Our results are new and generalize a number of known results to generalized variational inequality problems with fuzzy mappings. Keywords random fuzzy mapping strongly h-monotone gap function regularized gap function global error bound