Resolvent Methods for Solving System of General Variational Inclusions

M. A. Noor () and K. I. Noor ()
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M. A. Noor: COMSATS Institute of Information Technology
K. I. Noor: COMSATS Institute of Information Technology

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 2, No 10, 422-430

Abstract: Abstract In this paper, we introduce and consider some new systems of extended general variational inclusions involving seven different operators. Using the resolvent operator technique, we show that the new systems of extended general variational inclusions are equivalent to the fixed point problems. This equivalent formulation is used to suggest and analyze some new iterative methods for this system of extended general variational inclusions. We also study the convergence analysis of the new iterative method under certain mild conditions. Several special cases are also discussed. Results obtained in this paper can be viewed as pure mathematical contribution to variational analysis.

Keywords: Variational inclusions; Iteration algorithms; System of general variational inclusions; Convergence criteria; Hilbert spaces (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-010-9751-9

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