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The purpose of this paper is to give some new iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces. We also give the applications of the obtained result for the convex feasibility problem and constrained convex optimization problem in Hilbert spaces.
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참고문헌 (26)
참고문헌 신청
V. Barbu / 1978 / Convexity and Optimization in Banach spaces / Editura Academiei R. S. R.
H. H. Bauschke / 2004 / Projection and proximal point methods convergence results and counterexamples / Nonlinear Anal 56(5):715~738
H. Brezis / 1978 / Produits infinis de resolvantes / Israel J. Math 29(4):329~345
R. E. Bruck / 1974 / A strongly convergent iterative solution of 0 2 U(x) for a maximal mono-tone operator U in Hilbert space / J. Math. Anal. Appl 48:114~126
Y. J. Cho / 2008 / Viscosity approximation methods for a family of m-accretive mapping in re exive Banach spaces / Positivity 12(3):483~494
H. H. Bauschke / 2004 / Projection and proximal point methods convergence results and counterexamples / Nonlinear Anal 56(5):715~738
H. Brezis / 1978 / Produits infinis de resolvantes / Israel J. Math 29(4):329~345
R. E. Bruck / 1974 / A strongly convergent iterative solution of 0 2 U(x) for a maximal mono-tone operator U in Hilbert space / J. Math. Anal. Appl 48:114~126
Y. J. Cho / 2008 / Viscosity approximation methods for a family of m-accretive mapping in re exive Banach spaces / Positivity 12(3):483~494
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