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Title: | A new method for solving split variational inequality problems without co-coerciveness |
Authors: | Izuchukwu, C Mebawondu, A.A Mewomo, O. T |
Keywords: | Split variational inequality problems, monotone operator, co-coercive, Lipschitz continuous. |
Issue Date: | 29-Oct-2020 |
Publisher: | Journal of Fixed Point Theory and Applications |
Citation: | Izuchukwu, C., Mebawondu, A.A. & Mewomo, O.T. A new method for solving split variational inequality problems without co-coerciveness. J. Fixed Point Theory Appl. 22, 98 (2020). https://doi.org/10.1007/s11784-020-00834-0 |
Series/Report no.: | 22;98 |
Abstract: | In solving the split variational inequality problems in real Hilbert spaces, the co-coercive assumption of the underlying operators is usually required and this may limit its usefulness in many applications. To have these operators freed from the usual and restrictive co-coercive assumption, we propose a method for solving the split variational inequality problem in two real Hilbert spaces without the co-coerciveness assumption on the operators. We prove that the proposed method converges strongly to a solution of the problem and give some numerical illustrations of it in comparison with other methods in the literature to support our strong convergence result. |
URI: | http://localhost:8080/xmlui/handle/123456789/245 |
Appears in Collections: | Mathematics |
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