Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type

X Qin, SY Cho, L Wang - Optimization, 2018 - Taylor & Francis
… In this paper, we propose a regularization viscosity algorithm with computational errors
for the sum of two accretive operators and a nonexpansive mapping. Strong convergence of …

Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces

O Nevanlinna, S Reich - Israel journal of mathematics, 1979 - Springer
convergence condition and present some examples. In Section 3 we establish the strong
convergence of … semigroups whose generators satisfy the convergence condition. In Sections 4 …

[PDF][PDF] Weak convergence of an iterative sequence for accretive operators in Banach spaces

K Aoyama, H Iiduka, W Takahashi - Fixed point theory and applications, 2006 - Springer
… Next we study a weak convergence theorem for accretive operators in Banach spaces. This
… E, we denote strong convergence of {xn} to x ∈ E by xn → x and weak convergence by xn ⇀ …

Stability of the Mann and Ishikawa iteration procedures for φ-strong pseudocontractions and nonlinear equations of the φ-strongly accretive type

MO Osilike - Journal of mathematical analysis and applications, 1998 - Elsevier
… Furthermore, we prove that the T-stability or the almost T-stability of the Mann iteration
procedure leads to the strong convergence of the so-called Mann iteration method with errors …

Strong convergence theorems for a common zero of a finite family of m-accretive mappings

H Zegeye, N Shahzad - Nonlinear Analysis: Theory, Methods & …, 2007 - Elsevier
… a zero of the accretive mapping A if and only if it is a fixed point of the pseudocontractive
mapping T ≔ I − A . It is now well known (see, eg, [20]) that if A is accretive then the solutions of …

Strong convergence theorems for bounded accretive operators in uniformly smooth Banach spaces

CE Chidume - Contemp. Math, 2016 - books.google.com
… -accretive mapping. Assume that the inclusion 0∈ Au has a solution. An iterative process
is constructed which converges strongly … the strong convergence of the resolvent of m-accretive

Iterative solution of nonlinear equations of the φ-strongly accretive type

MO Osilike - Journal of Mathematical Analysis and Applications, 1996 - Elsevier
… where T is strongly accretive, accretive, or -strongly accretive in … Ishikawa iteration methods
converge strongly to the unique … Ishikawa iteration methods converge strongly to the unique …

Rates of convergence for iterative solutions of equations involving set-valued accretive operators

U Kohlenbach, T Powell - Computers & Mathematics with Applications, 2020 - Elsevier
… of strong convergence of various iterative algorithms for computing the unique zeros of
set-valued accretive … More precisely, we extract explicit rates of convergence from these proofs …

Equilibrium points for a system involving m-accretive operators

CE Chidume, MO Osilike - Proceedings of the Edinburgh …, 2001 - cambridge.org
… We establish the strong convergence of the Ishikawa and Mann iterative methods with …
deal with the strong convergence of the iterative methods to the fixed points of φ-strong

Convergence theorem for zeros of generalized Lipschitz generalized phi-quasi-accretive operators

C Chidume - Proceedings of the American Mathematical Society, 2006 - ams.org
… It is our purpose in this paper to prove convergence theorems for zeros of generalized
Lipschitz, generalized Φ-quasi-accretive operators and for fixed points of generalized Lipschitz, …