Results 41 to 50 of about 321 (86)

Halpern-type proximal point algorithm in complete CAT(0) metric spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of ...
Heydari Mohammad Taghi, Ranjbar Sajad
doaj   +1 more source

Dynamical Systems Method (DSM) for solving nonlinear operator equations in Banach spaces [PDF]

, 2010
Let $F(u)=h$ be an operator equation in a Banach space $X$, $\|F'(u)-F'(v)\|\leq \omega(\|u-v\|)$, where $\omega\in C([0,\infty))$, $\omega(0)=0$, $\omega(r)>0$ if $r>0$, $\omega(r)$ is strictly growing on $[0,\infty)$. Denote $A(u):=F'(u)$, where $F'(u)$
Ramm, A. G.
core   +7 more sources

Estimates of Solutions to Nonlinear Evolution Equations [PDF]

, 2018
Consider the equation                  u’(t) = A (t, u (t)),   u(0)= U0 ;   u' := du/dt     (1).   Under some assumptions on the nonlinear operator A(t,u) it ...
Ramm, Alexander G.
core   +2 more sources

Iterative approximation for split common fixed point problem involving an asymptotically nonexpansive semigroup and a total asymptotically strict pseudocontraction

, 2014
In this paper, we prove the strong convergence theorem for split feasibility problem involving a uniformly asymptotically regular nonexpansive semigroup and a total asymptotically strict pseudocontractive mapping in Hilbert spaces.
P. Cholamjiak, Y. Shehu
semanticscholar   +1 more source

Dynamical Systems Gradient method for solving nonlinear equations with monotone operators

, 2008
A version of the Dynamical Systems Gradient Method for solving ill-posed nonlinear monotone operator equations is studied in this paper. A discrepancy principle is proposed and justified. A numerical experiment was carried out with the new stopping rule.
A. G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, D. Pascali, E. Zeidler, I.V. Skrypnik, J.L. Lions, K. Deimling, M.M. Vainberg, N. S. Hoang, N.S. Hoang, U. Tautenhahn, U. Tautenhahn, V. Ivanov, V.A. Morozov   +24 more
core   +2 more sources

Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces

, 2014
The purpose of this paper is by using the viscosity approximation method to study the strong convergence problem for two one-parameter continuous semigroups of nonexpansive mappings in CAT(0) spaces.
Jinfang Tang, Shih-sen Chang
semanticscholar   +1 more source

Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function

, 2013
In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function.
N. Shahzad, H. Zegeye, Abdullah M. Alotaibi   +2 more
semanticscholar   +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

A Note on Brondsted's Fixed Point Theorem

, 2023
We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be ...
Zubelevich, Oleg
core  

Split feasibility problems for total quasi-asymptotically nonexpansive mappings

, 2012
The purpose of this paper is to propose an algorithm for solving the split feasibility problems for total quasi-asymptotically nonexpansive mappings in infinite-dimensional Hilbert spaces.
Xiongrui Wang, Shih-sen Chang, Lin Wang, Yunhe Zhao   +3 more
semanticscholar   +1 more source