Existence and iterative approximation of solutions of a system of general variational inclusions |
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Authors: | KR Kazmi Huzoor H Khan |
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Institution: | a Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India b Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India |
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Abstract: | In this paper, we consider a system of general variational inclusions in q-uniformly smooth Banach spaces. Using proximal-point mapping technique, we prove the existence and uniqueness of solution and suggest a Mann type perturbed iterative algorithm for the system of general variational inclusions. We also discuss the convergence criteria and stability of Mann type perturbed iterative algorithm. The techniques and results presented here improve the corresponding techniques and results for the variational inequalities and inclusions in the literature. |
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Keywords: | System of general variational inclusions Proximal-point mapping technique Mann type perturbed iterative algorithm Convergence and stability analysis |
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