Search
Search Results
-
Mann-Type Inertial Projection and Contraction Method for Solving Split Pseudomonotone Variational Inequality Problem with Multiple Output Sets
In this paper, we study the concept of split variational inequality problem with multiple output sets when the cost operators are pseudomonotone and...
-
Inertial Mann type algorithms for a finite collection of equilibrium problems and fixed point problem of demicontractive map**s
The aim of this paper is to study sequential and parallel inertial algorithms for approximating the common solution of a finite collection of...
-
Mann-type extragradient algorithm for solving variational inequality and fixed point problems
This paper aims to propose a double inertial Mann-type extragradient algorithm using non-monotonic step size and establish a weak convergence result...
-
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...
-
Convergence of Fibonacci–Ishikawa iteration procedure for monotone asymptotically nonexpansive map**s
In uniformly convex Banach spaces, we study within this research Fibonacci–Ishikawa iteration for monotone asymptotically nonexpansive map**s. In...
-
On Chaos Controlling Mechanism for Ishikawa Iteration and Its Traffic Flow Model in Discrete Dynamical Systems
The fact that very small changes cause unpredictable big changes in nature has led to the chaos theory. Many researchers focusing on chaos have...
-
On enriched Hardy–Rogers contractions in Banach space via Krasnoselskij iteration with an application
In this paper we initiate the study of enriched Hardy–Rogers contraction in Banach space and utilize it to establish fixed point results by using the...
-
Krasnoselski–Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems
In this paper, we present Krasnoselski–Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point...
-
The Krasnosel’skiı̆–Mann Iteration
In this chapter, we discuss the progress of the original Krasnosel’skiı̆–Mann iteration, the perturbations of the Krasnosel’skiı̆–Mann iteration, and...
-
A novel three-step implicit iteration process for three finite family of asymptotically generalized Φ-hemicontractive map** in the intermediate sense
In this paper, we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous...
-
A note on a faster fixed point iterative method
Very recently, Piri et al. (Numer Algorithms 81:1129–1148, 2019) introduced an iterative process to approximate a fixed point of generalized
... 
-
Some fixed point results for pair of relatively non-expansive map**s in W-hyperbolic spaces using Thakur iteration
In this paper, we prove some fixed point results for a pair of relatively nonexpansive map**s using Thakur iteration in uniformly convex...
-
Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems
Several efficient methods have been developed in the literature for approximating solutions of fixed point and optimization problems. However, the S -i...
-
Resolvent-Mann-type algorithm for bilevel problems with split feasibility problem constraint
We propose a strongly convergent algorithm for solving bilevel variational inequality problem with split equilibrium problem and fixed point...
-
The Inertial Krasnosel’skiı̆–Mann Iteration
The inertial type algorithms [172] originate from the heavy ball method of the so-called heavy ball with friction dynamical system:...
-
Solution of nonlinear boundary value problem by S-iteration
In this paper we import a novel approach to solve the non-linear fourth order boundary value problem. The basic strategy depends on integral operator...
-
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...
-
An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
In this paper, we present an application of the viscosity approximation type iterative method introduced by Nandal et al. (Iteration Process for...
-
Dynamical inertial extragradient techniques for solving equilibrium and fixed-point problems in real Hilbert spaces
In this paper, we propose new methods for finding a common solution to pseudomonotone and Lipschitz-type equilibrium problems, as well as a...
-
An inertial parallel iterative method for solving generalized mixed equilibrium problems and common fixed point problem in reflexive Banach spaces
By combining the shrinking projection method with the parallel splitting-up technique and the inertial term, we introduce a new inertial parallel...