Results 71 to 80 of about 1,535 (205)

Modified Iterative Algorithms for Nonexpansive Mappings [PDF]

International Journal of Stochastic Analysis, 2009
Let H be a real Hilbert space, let S, T be two nonexpansive mappings such that F(S)∩F(T) ≠ ∅, let f be a contractive mapping, and let A be a strongly positive linear bounded operator on H. In this paper, we suggest and consider the strong converegence analysis of a new two‐step iterative algorithms for finding the approximate solution of two ...
Yao, Yonghong, Noor, Muhammad Aslam, Mohyud-Din, Syed Tauseef   +2 more
openaire   +2 more sources

Viscosity approximation methods for nonexpansive nonself-mappings [PDF]

, 2006
Let E a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E∗, and K be a closed convex subset of E which is also a sunny nonexpansive retract of E, and T:K→E be nonexpansive mappings satisfying the weakly
Song, Yisheng, Chen, Rudong
core   +1 more source

Stationary and Nonstationary Iterative Methods for Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The aim of this paper is to present a novel stationary and nonstationary iterative approach for approximating common fixed points of a finite family of generalized nonexpansive mappings in uniformly convex Banach spaces. For the stationary scheme, both strong and weak convergence theorems are established under standard geometric conditions.
Sehar Afsheen, Amna Kalsoom, Faryad Ali, Akbar Azam, John R. Akeroyd   +4 more
wiley   +1 more source

Fixed Point Results for Coupled Large Kannan Contraction Using W‐Distance and Its Application to Integral Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the present paper, we employ the notion of w‐distance to prove a large Kannan‐type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty‐type control function, we derive fixed point results in metric spaces with and without partial order.
Priyam Chakraborty, Binayak S. Choudhury, Amaresh Kundu, Santosh Kumar, Ljubisa Kocinac   +4 more
wiley   +1 more source

Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem

مجلة بغداد للعلوم, 2020
In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces.
Naseif Jasim AL-Jawari
doaj   +1 more source

Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar, Poonam Yadav, Mohammad Sajid, Ji Gao   +3 more
wiley   +1 more source

On directionally nonexpansive mappings

European Journal of Mathematics
AbstractIn 2000, W.A. Kirk introduced the concept of directionally nonexpansive mappings. Here, we present a more comprehensive study of this class of mappings, including a fixed-point result for them. We further present a class of mappings, properly containing the directionally nonexpansive ones, for which Kirk’s theorem still holds.
openaire   +1 more source

Viscosity approximation methods for nonexpansive mappings and monotone mappings [PDF]

, 2007
Viscosity approximation methods for nonexpansive mappings are studied. Consider the iteration process {xn}, where x0∈C is arbitrary and xn+1=αnf(xn)+(1−αn)SPC(xn−λnAxn), f is a contraction on C, S is a nonexpansive self-mapping of a closed convex subset ...
Fan, Tiegang, Zhang, Lijuan, Chen, Junmin   +2 more
core   +1 more source

Strong Convergence Algorithms Involving Two Iterative Sequences for Solving Common Fixed Point Problems With an Application

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The goal of this study is dedicated to the research on the fixed point iterative algorithm for solving the common fixed point problems in Hilbert spaces. In this study, we first propose the hybrid and shrinking projection algorithms of two different nonexpansive mappings for a class of algorithms with two iterative sequences to solve the common fixed ...
Shengquan Weng, Hongying Xiao, Ching-Feng Wen   +2 more
wiley   +1 more source

An Inertial Three‐Term Conjugate Gradient Projection Method With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a robust inertial three‐term projection method for solving monotone nonlinear equations. The proposed approach extends existing nonlinear conjugate gradient (CG) methods for unconstrained optimization with inexact line search by incorporating an inertial mechanism and a redesigned three‐term search direction to enhance numerical ...
Muhammad Abdullahi, Mohammed A. Saleh, Seyed Yaser Mousavi Siamakani, Abdulgader Z. Almaymuni, Auwal Bala Abubakar, Abubakar Sani Halilu, Sulaiman M. Ibrahim, Predrag S. Stanimirović   +7 more
wiley   +1 more source