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Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces

, 2021
We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose two new algorithms and establish two strong convergence theorems for both of them.
J. Kim   +2 more
semanticscholar   +1 more source

On Jc‐contraction and related fixed‐point problem with applications

Mathematical methods in the applied sciences, 2020
We introduce Jc‐contraction, which encompasses both F‐contraction and JS‐contraction. We investigate a fixed‐point problem subject to Jc‐contraction.
Muhammad Nazam
semanticscholar   +1 more source

DECOMPOSING A FIXED POINT PROBLEM INTO MULTIPLE FIXED POINT PROBLEMS

Rocky Mountain Journal of Mathematics
A BSTRACT . We decompose an operator associated to a right focal boundary value problem, whose fixed points are solutions of the boundary value problem, into multiple fixed point problems.
R. Avery   +2 more
semanticscholar   +1 more source

Parallel Iterative Methods for Solving the Split Common Fixed Point Problem in Hilbert Spaces

Numerical Functional Analysis and Optimization, 2019
We introduce three new parallel algorithms for solving the split common fixed point problem in Hilbert spaces. Those iterative methods for solving split common fixed point problems which involve step sizes that depend on the norm of a given bounded ...
S. Reich   +2 more
semanticscholar   +1 more source

Approximating a Zero of Sum of Two Monotone Operators Which Solves a Fixed Point Problem in Reflexive Banach Spaces

Numerical Functional Analysis and Optimization, 2019
The purpose of this paper is to introduce an iterative method for approximating a point in the set of zeros of the sum of two monotone mappings, which is also a solution of a fixed point problem for a Bregman strongly nonexpansive mapping in a real ...
F. Ogbuisi, C. Izuchukwu
semanticscholar   +1 more source

Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces

Optimization, 2019
In this work, we suggest modifications of the self-adaptive method for solving the split feasibility problem and the fixed point problem of nonexpansive mappings in the framework of Banach spaces.
S. Suantai   +3 more
semanticscholar   +1 more source

The Split Equality Fixed Point Problem for Quasi-Pseudo-Contractive Mappings Without Prior Knowledge of Norms

Numerical Functional Analysis and Optimization, 2019
Recently, Chang et al. (2015) constructed an algorithm that converges weakly to the solution of the split equality fixed point problem for quasi-pseudo-contractive mappings under some suitable conditions.
O. A. Boikanyo, H. Zegeye
semanticscholar   +1 more source

Weak and Strong Convergence Theorems for New Demimetric Mappings and the Split Common Fixed Point Problem in Banach Spaces

Numerical Functional Analysis and Optimization, 2018
In this paper, we consider the split common fixed point problem for new demimetric mappings in Banach spaces. Using the idea of Mann’s iteration, we prove a weak convergence theorem for finding a solution of the split common fixed point problem in Banach
W. Takahashi
semanticscholar   +1 more source

Weak and Strong Convergence of Two Algorithms for the Split Fixed Point Problem

Numerical Mathematics: Theory, Methods and Applications, 2018
Two iterative algorithms are proposed for the split fixed point problem. The first algorithm is shown to be weakly convergent and the second one to be strongly convergent.
Feng Xu
semanticscholar   +1 more source

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