Affiliation:
1. Department of Mathematics , Gaston Berger University , Saint Louis , Senegal
Abstract
Abstract
In this paper, we suggest and analyze a new iterative method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping and the set of fixed points of a demicontractive mapping which is the unique solution of some variational inequality problems involving accretive operators in a Banach space. We prove the strong convergence of the proposed iterative scheme without imposing any compactness condition on the mapping or the space. Finally, applications of our theorems to some constrained convex minimization problems are given.
Subject
Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science
Reference23 articles.
1. Ya. Alber, Metric and generalized Projection Operators in Banach space:properties and applications in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type,(A. G Kartsatos, Ed.), Marcel Dekker, New York (1996), pp. 15-50.
2. F. E. Browder, Convergenge theorem for sequence of nonlinear operator in Banach spaces, Z., 100 (1967) 201-225.
3. P.L. Combettes, A block-iterative surrogate constraint splitting method for quadratic signal recovery, IEEE Transactions on Signal Processing 51(7), 1771-1782 (2003).
4. I. Cioranescu, Geometry of Banach space, duality mapping and nonlinear problems, Kluwer, Dordrecht, (1990).
5. C. E. Chidume, Geometric Properties of Banach spaces and Nonlinear Iterations, Springer Verlag Series: Lecture Notes in Mathematics, Vol. 1965, (2009), ISBN 978-1-84882-189-7.
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