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
Strong convergence of the Mann iteration for demicontractive mappings
The strong convergence of the Mann iteration for a demicontractive mapping T : C → C, where C is a subset of a real Hilbert space, is investigated. The main result states that if T is demicontractive and Fréchet differentiable at some fixed point of T ...
Ş. Măruşter
semanticscholar +1 more source
Iterative algorithms for quasi-variational inclusions and fixed point problems of pseudocontractions
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.
Yong-Hong Yao, R. Agarwal, Y. Liou
semanticscholar +1 more source
On the convergence rate of the Kačanov scheme for shear-thinning fluids. [PDF]
Heid P, Süli E.
europepmc +1 more source
Parallel algorithms for variational inclusions and fixed points with applications
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
Some results on Rockafellar-type iterative algorithms for zeros of accretive operators
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
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
The regularized CQ algorithm without a priori knowledge of operator norm for solving the split feasibility problem. [PDF]
Tian M, Zhang HF.
europepmc +1 more source
Regularized gradient-projection methods for finding the minimum-norm solution of the constrained convex minimization problem. [PDF]
Tian M, Zhang HF.
europepmc +1 more source
Relaxed alternating CQ algorithms for the split equality problem in Hilbert spaces. [PDF]
Yu H, Wang F.
europepmc +1 more source

