Results 51 to 60 of about 160 (103)

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

Fixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

On generalized extragradient implicit method for systems of variational inequalities with constraints of variational inclusion and fixed point problems

Open Mathematics, 2022
In a real Banach space, let the VI indicate a variational inclusion for two accretive operators and let the CFPP denote a common fixed point problem of countably many nonexpansive mappings.
Ceng Lu-Chuan, Zhu Li-Jun, Yin Tzu-Chien
doaj   +1 more source

A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study

Demonstratio Mathematica
This manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces.
Ahmad Fayyaz, Ullah Kifayat, Ahmad Junaid, Hammad Hasanen A., George Reny   +4 more
doaj   +1 more source

Existence of a common solution for a system of nonlinear integral equations via fixed point methods in b-metric spaces

Open Mathematics, 2016
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai, Sintunavarat Wutiphol, Je Cho Yeol   +2 more
doaj   +1 more source

Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces

Open Mathematics, 2022
The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces ...
Ali Danish, Hussain Aftab, Karapinar Erdal, Cholamjiak Prasit   +3 more
doaj   +1 more source

Signal recovery and polynomiographic visualization of modified Noor iteration of operators with property (E)

Demonstratio Mathematica
This article aims to provide a modified Noor iterative scheme to approximate the fixed points of generalized nonexpansive mappings with property (EE) called MN-iteration.
Paimsang Papinwich, Thianwan Tanakit
doaj   +1 more source

Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces

Demonstratio Mathematica
The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed ...
Wang Chao
doaj   +1 more source

Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject.
Ranjbar Sajad
doaj   +1 more source

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo, Berinde Vasile, Păcurar Mădălina   +2 more
doaj   +1 more source

On a generalized Krasnoselskii fixed point theorem

Open Mathematics
This study concerns a Krasnoselskii-type fixed point theorem for the sum of two operators A,BA,B in a Banach space EE, where BB is a Reich-type contractive mapping and AA is a k-set contractive mapping.
Pham Hien Van
doaj   +1 more source