Results 21 to 30 of about 7,631,600 (272)
On Mann-type iteration method for a family of hemicontractive mappings in Hilbert spaces [PDF]
Journal of Inequalities and Applications, 2013 Abstract Let K be a compact convex subset of a real Hilbert space H and T i : K → K , i = 1
Nawab Hussain +3 more
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Modified inertial double Mann type iterative algorithm for a bivariate weakly nonexpansive operator [PDF]
Carpathian Journal of Mathematics, 2020 "We introduce a modified inertial double Mann type iterative method to approximate coupled solutions of a bivariate nonexpansive operator T : C x C→ C, where C is a nonempty closed and convex subset of a Hilbert space. The one theorem and complement important old and recent results in coupled fixed point theory.
ANANTACHAI PADCHAROEN, KAMONRAT SOMBUT
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Journal of Industrial and Management Optimization, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abuchu, Jacob Ashiwere +2 more
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Strong convergence of the Mann iteration for alpha-demicontractive mappings [PDF]
, 2011 The paper deals with strong convergence properties of the Mann iteration. A new class of demicontractive mappings (called alpha-demicontractive) is introduced for which the strong convergence of the computed sequence is assured.
Maruster, Laura +4 more
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Weak Convergence to a Fixed Point of the Sequence of Mann Type Iterates
Journal of Mathematical Analysis and Applications, 1994 The authors prove the following theorem: Let \(T\) be a quasi-nonexpansive self-mapping of a closed convex subset of a uniformly convex Banach space satisfying Opial's condition with \(I-T\) demiclosed with respect to zero. Then the sequence \(\{x_ n\}_{n=1}^ \infty\) defined by \(x_{n+1}= (1- \alpha_ n) x_ n+ \alpha_ n Tx_ n\) converges weakly to some
Park, J.Y., Jeong, J.U.
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Convergence of Mann’s type iteration method for generalized asymptotically nonexpansive mappings
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habtu Zegeye, Naseer Shahzad
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ON IMPLICIT MANN TYPE ITERATION PROCESS FOR STRICTLY HEMICONTRACTIVE MAPPINGS IN REAL SMOOTH BANACH SPACES [PDF]
International Journal of Pure and Apllied Mathematics, 2013 Summary: In this paper, we proved that the implicit Mann type iteration process can be applied to approximate the fixed point of strictly hemicontractive mappings in real smooth Banach spaces.
Jeong, So Bong +2 more
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Solution of nonlinear equations using Mann iteration [PDF]
, 2014 In this paper, we recall some basic concepts, properties of the spaces and some types of iteration approaches. Also, we give algorithm - fixed point iteration scheme and examples.
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The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators [PDF]
, 2003 We show that the convergence of Mann iteration is equivalent to the convergence of Ishikawa iteration for various classes of non-Lipschitzian ...
B. E. Rhoades, Ştefan M. Şoltuz
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Mathematics, 2022 In a real Hilbert space, let the VIP denote a pseudomonotone variational inequality problem with Lipschitz continuity operator, and let the CFPP indicate a common fixed-point problem of finitely many nonexpansive mappings and an asymptotically ...
Lu-Chuan Ceng +3 more
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