Results 41 to 50 of about 160 (66)
A modified Mann iteration for zero points of accretive operators
, 2013 A modified Mann iteration with computational errors is investigated. A strong convergence theorem for zero points of an m-accretive operator is established in a Banach space.MSC:47H06, 47H09, 47J25, 65J15.
Jianmin Song, Minjiang Chen
semanticscholar +1 more source
, 2011 Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied.
Jiawei Chen, Y. Je Cho, Z. Wan
semanticscholar +1 more source
Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces
Fixed Point Theory and Applications, 2011 We use strongly pseudocontractions to regularize a class of accretive variational inequalities in Banach spaces, where the accretive operators are complements of pseudocontractions and the solutions are sought in the set of fixed points of another ...
Chen Rudong, Wang Yaqin
doaj
, 2013 In this paper, we present a semi-local convergence analysis of Halley’s method for approximating a locally unique solution of a nonlinear equation in a Banach space setting, where we assume that the second Fréchet-derivative is bounded.
I. Argyros, Y. Cho, H. Ren
semanticscholar +1 more source
Fixed Point Theory and Applications, 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 ...
Saewan Siwaporn, Kumam Poom
doaj
Parallel algorithms for variational inclusions and fixed points with applications
, 2014 In this paper, we introduce two parallel algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive mapping in Hilbert spaces and prove some strong convergence theorems of the proposed algorithms.
A. A. Abdou +4 more
semanticscholar +1 more source
On the convergence rate of the Kačanov scheme for shear-thinning fluids. [PDF]
Calcolo, 2022 Heid P, Süli E.
europepmc +1 more source
Iterative algorithms for quasi-variational inclusions and fixed point problems of pseudocontractions
, 2014 In this paper, quasi-variational inclusions and fixed point problems of pseudocontractions are considered. An iterative algorithm is presented. A strong convergence theorem is demonstrated. MSC:49J40, 47J20, 47H09, 65J15.
Yonghong Yao, R. Agarwal, Y. Liou
semanticscholar +1 more source
Some results on Rockafellar-type iterative algorithms for zeros of accretive operators
, 2013 We provide a new proof technique to obtain strong convergence of the sequences generated by viscosity iterative methods for a Rockafellar-type iterative algorithm and a Halpern-type iterative algorithm to a zero of an accretive operator in Banach spaces.
J. Jung
semanticscholar +1 more source
On a new semilocal convergence analysis for the Jarratt method
, 2013 We develop a new semilocal convergence analysis for the Jarratt method. Through our new idea of recurrent functions, we develop new sufficient convergence conditions and tighter error bounds.
I. Argyros, Y. Cho, S. Khattri
semanticscholar +1 more source