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System of generalized resolvent equations with corresponding system of variational inclusions |
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| Authors: | Rais Ahmad and J C Yao |
| Institution: | (1) Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India;(2) Department of Applied Mathematics, College of Sciences, National Sun Yat-Sen University, Kaohsiung, 804, Taiwan, R.O.C |
| Abstract: | The purpose of this paper is to introduce a new system of generalized resolvent equations with corresponding system of variational inclusions in uniformly smooth Banach spaces. We establish an equivalence relation between system of generalized resolvent equations and system of variational inclusions. The iterative algorithms for finding the approximate solutions of system of generalized resolvent equations are proposed. The convergence of approximate solutions of system of generalized resolvent equations obtained by the proposed iterative algorithm is also studied. |
| Keywords: | Generalized resolvent equations Variational inclusions System Algorithm Convergence |
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