System of generalized resolvent equations with corresponding system of variational inclusions

Authors:
Rais Ahmad;J. C. Yao
Affiliations:
Department of Mathematics, Aligarh Muslim University, Aligarh, India 202002;Department of Applied Mathematics, College of Sciences, National Sun Yat-Sen University, Kaohsiung, Taiwan, R.O.C 804
Venue:
Journal of Global Optimization
Year:
2009

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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.