Results 21 to 30 of about 160 (66)
Iterative algorithms with errors for zero points of m-accretive operators
, 2013 In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors.
X. Qin, S. Cho, Lin Wang
semanticscholar +1 more source
Semilocal analysis of equations with smooth operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 553-563, 1981., 1981 Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton′s method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
wiley +1 more source
Matkowski theorems in the context of quasi-metric spaces and consequences on G-metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces.
Karapιnar Erdal +2 more
doaj +1 more source
Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings
, 2014 The asymptotically nonexpansive mappings have been introduced by Goebel and Kirkin 1972. Since then, a large number of authors have studied the weak and strongconvergence problems of the iterative algorithms for such a class of mappings.It is well known ...
Yonghong Yao, M. Postolache, S. Kang
semanticscholar +1 more source
Arab Journal of Mathematical Sciences, 2014 In this paper, we introduce and study an implicit iterative method to approximate a common solution of split equilibrium problem and fixed point problem for a nonexpansive semigroup in real Hilbert spaces. Further, we prove that the nets generated by the
K.R. Kazmi, S.H. Rizvi
doaj +1 more source
, 2011 In this paper, we show the hierarchical convergence of the following implicit double-net algorithm: xs,t=s[tf(xs,t)+(1-t)(xs,t-μAxs,t)]+(1-s)1λs∫0λsT(v)xs,tdν,∀s,t∈(0,1), where f is a ρ-contraction on a real Hilbert space H, A : H → H is an α-inverse ...
Yonghong Yao, Y. Je Cho, Y. Liou
semanticscholar +1 more source
Demonstratio Mathematica, 2018 The purpose of this paper is to study a split generalized mixed equilibrium problem and a fixed point problem for nonspreading mappings in real Hilbert spaces.We introduce a new iterative algorithm and prove its strong convergence for approximating a ...
Jolaoso Lateef Olakunle +3 more
doaj +1 more source
On the viscosity rule for common fixed points of two nonexpansive mappings in Hilbert spaces
, 2017 In this paper, we introduce, for the first time, the viscosity rules for common fixed points of two nonexpansive mappings in Hilbert spaces. The strong convergence of this technique is proved under certain assumptions imposed on the sequence of ...
S. Naqvi, Muhammad Saqib Khan
semanticscholar +1 more source
An algorithm for a common fixed point of a family of pseudocontractive mappings
, 2013 We introduce an iterative process which converges strongly to a common fixed point of a family of Lipschitzian pseudocontractive mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear ...
H. Zegeye, N. Shahzad
semanticscholar +1 more source
, 2011 In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the set of common fixed points for a ...
S. Saewan, Poom Kumam
semanticscholar +1 more source