Generalized variational inequalities for maximal monotone operators
نویسندگان
چکیده
In this paper, we present some new results on the existence of solutions generalized variational inequalities for set-valued mappings in reflexive Banach spaces with Fréchet differentiable norms. Moreover, structure solution sets is investigated. The result obtained paper improves and extends ones announced by Fang Peterson [S. C. E. L. Peterson, Generalized Variational Inequalities, J. Optim. Theory Appl., 38 (1982), 363-383] others.
منابع مشابه
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* Correspondence: poom. [email protected] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, Thailand Full list of author information is available at the end of the article Abstract In this article, we prove strong and weak convergence theorems of modified proximal point algorithms for finding a common elemen...
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ژورنال
عنوان ژورنال: Indian Journal of Pure and Applied Mathematics
سال: 2021
ISSN: ['0019-5588', '0975-7465', '2455-0000']
DOI: https://doi.org/10.1007/s13226-021-00118-4