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Generalized Halpern iteration with new control conditions and its application
In this paper, we investigate the generalized Halpern iteration for computing fixed points of nonexpansive map**s in Hilbert space setting, and...
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Rates of asymptotic regularity for the alternating Halpern–Mann iteration
In this paper we extend to UCW -hyperbolic spaces the quantitative asymptotic regularity results for the alternating Halpern–Mann iteration obtained...
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On Modified Halpern and Tikhonov–Mann Iterations
We show that the asymptotic regularity and the strong convergence of the modified Halpern iteration due to T.-H. Kim and H.-K. Xu and studied further...
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Modified Halpern and viscosity methods for hierarchical variational inequalities on Hadamard manifolds
This paper proposes, in the framework of Hadamard manifolds, two iterative schemes for approximating a solution of a variational inequality problem...
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Convergence results on the general inertial Mann–Halpern and general inertial Mann algorithms
In this paper, we prove strong convergence theorem of the general inertial Mann–Halpern algorithm for nonexpansive map**s in the setting of Hilbert...
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Inertial Halpern-type method for solving split feasibility and fixed point problems via dynamical stepsize in real Banach spaces
In this paper, we introduce a modified Halpern inertial method for approximating solutions of split feasibility problem and fixed point problem of...
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On the convergence rate of the Halpern-iteration
In this work, we give a tight estimate of the rate of convergence for the Halpern-iteration for approximating a fixed point of a nonexpansive map**...
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A New Halpern-Type Bregman Projection Method for Solving Variational Inequality Problems in Reflexive Banach Space
This paper proposes a new Halpern-type inertial subgradient extragradient method with Bregman distance for solving variational inequality problems in...
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A Modified inertial Halpern method for solving split monotone variational inclusion problems in Banach Spaces
In this paper, we propose and study a modified inertial Halpern method for finding a common element of the set of solutions of split monotone...
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A modified Halpern-proximal point method for approximating solutions of mixed equilibrium and fixed point problems in Hadamard spaces
In this paper, we introduce and study a modified Halpern-type proximal point algorithm which comprises a finite family of resolvents of mixed...
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Quantitative results on a Halpern-type proximal point algorithm
We apply proof mining methods to analyse a result of Boikanyo and Moroşanu on the strong convergence of a Halpern-type proximal point algorithm. As a...
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An extended inertial Halpern-type ball-relaxed CQ algorithm for multiple-sets split feasibility problem
In an infinite-dimensional real Hilbert space setting, we introduce a new self-adaptive inertial Halpern-type projection algorithm for solving...
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An inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces
In this work, we introduce an inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces. The main advantages of the...
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Convergence analysis of a novel iteration process with application to a fractional differential equation
The objective of this article is to study a three-step iteration process in the framework of Banach spaces and to obtain convergence results for...
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Novel inertial methods for fixed point problems in reflexive Banach spaces with applications
In this paper, we suggest and analyze four inertial algorithms for solving fixed point problems of Bregman quasi-nonexpansive map**s in the...
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Analysis of two versions of relaxed inertial algorithms with Bregman divergences for solving variational inequalities
In this paper, we introduce and analyze two new inertial-like algorithms with the Bregman divergences for solving the pseudomonotone variational...
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