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Gap functions and error bounds for random generalized variational inequality problems

Article scientifique 2016 Anglais

Résumé

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.

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Khan, S., Iqbal, J., Shehu, Y. (2016). Gap functions and error bounds for random generalized variational inequality problems. https://doi.org/10.1186/s13660-016-0984-5

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Auteur(s)

Suhel Ahmad Khan Javid Iqbal Yekini Shehu

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