Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings
نویسندگان
چکیده
منابع مشابه
Iterative Methods for Family of Strictly Pseudocontractive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems
We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of k-strictly pseudocontractive mappings and the set of common solutions to a system of generalized mixed equilibrium problems and the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to...
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*Correspondence: [email protected] 2Basic Experimental & Teaching Center, Henan University, Kaifeng, 475000, China Full list of author information is available at the end of the article Abstract In this article, a mean iterative algorithm is investigated for finding a common element in the solution set of generalized equilibrium problems and in the fixed point set of strictly pseudocontractive ma...
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and Applied Analysis 3 (b) η-strongly monotone if there exists a constant η > 0 such that ⟨Sx − Sy, x − y⟩ ≥ η x − y 2 , ∀x, y ∈ C; (12) (c) α-inverse-strongly monotone (α-ism) if there exists a constant α > 0 such that ⟨Sx − Sy, x − y⟩ ≥ α Sx − Sy 2 , ∀x, y ∈ C. (13) Obviously, if S is α-inverse-strongly monotone, then it is monotone and (1/α)-Lipschitz continuous. It can be ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Computing
سال: 2016
ISSN: 1598-5865,1865-2085
DOI: 10.1007/s12190-015-0980-9