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A new method for solving a system of generalized nonlinear variational inequalities in Banach spaces |
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| Authors: | SS Chang HW Joseph Lee |
| Institution: | a Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China c Department of Mathematics and Physics, Beijing Institute of Petro-Chemical Technology, Beijing 102617, China |
| Abstract: | The purpose of this paper is by using the generalized projection approach to introduce an iterative scheme for finding a solution to a system of generalized nonlinear variational inequality problem. Under suitable conditions, some existence and strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces. The results presented in the paper improve and extend some recent results. |
| Keywords: | Generalized projection mapping A system of generalized nonlinear variational inequality Uniformly smooth Banach space Lyapunov functional Normalized duality mapping |
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