Forwardbackward splitting methods for accretive operators in Banach spaces

G López, V Martín-Márquez, F Wang… - Abstract and Applied …, 2012 - Wiley Online Library
… We also introduce the concept of accretive and m-accretive operators in a Banach space. In
… will be used when we discuss convergence of algorithms (1.6) and (1.7) in the next section. …

Convergence theorems for accretive operators with nonlinear mappings in Banach spaces

YL Song, LC Ceng - Abstract and Applied Analysis, 2014 - Wiley Online Library
accretive operators which is related to nonexpansive mappings. For inverse-strongly accretive
operators, … Then they studied the weak and strong convergence of algorithms (7) and (8), …

… existence and uniqueness of solution and the convergence of a multi-step iterative algorithm for a system of variational inclusions with (A, η, m)-accretive operators

JW Peng - Journal of Global Optimization, 2007 - Springer
… (A,η,m)-accretive operators which contains variational inequalities, variational inclusions, …
By using the resolvent technique for the (A,η,m)accretive operators, we prove the existence …

[PDF][PDF] Relaxed iterative methods for an infinite family of d-accretive mappings in a Banach space and their applications

L Wei, RP Agarwal - Journal of Nonlinear Functional Analysis, 2018 - scholar.archive.org
… mappings and finding zero points of m-accretive operators, J. Nonlinear Var. Anal. … ., Weak
and strong convergence of algorithms for the sum of two accretive operators with applications, …

[PDF][PDF] Forward-Backward Splitting Methods for Accretive Operators in Banach Spaces

GL Acedo, V Martin-Marquez, F Wang, H Xu - 2012 - Citeseer
… We also introduce the concept of accretive and m-accretive operators in a Banach space.
In … will be used when we discuss convergence of algorithms 1.6 and 1.7 in the next section. …

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 the …

Strong Convergence for the Alternating Halpern–Mann Iteration in CAT (0) Spaces

B Dinis, P Pinto - SIAM Journal on Optimization, 2023 - SIAM
In this paper we consider, in the general context of CAT(0) spaces, an iterative schema
which alternates between Halpern and Krasnoselskii–Mann style iterations. We prove, under …

On nonexpansive and accretive operators in Banach spaces.

D Li - Journal of Nonlinear Sciences & Applications (JNSA), 2017 - search.ebscohost.com
… Latif, HO Bakodah, Weak and strong convergence of algorithms for the sum of two accretive
operators with applications, J. Nonlinear Convex Anal., 16 (2015), 1321–1336. 2 [6] FE …

[HTML][HTML] Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators

X Qin, JC Yao - Journal of Inequalities and Applications, 2016 - Springer
… Zero point problems of two accretive operators and fixed point problems of a nonexpansive
mappings are investigated based on a Mann-like iterative algorithm. Weak convergence …

[PDF][PDF] Generalized Yosida approximation operator with an application to a system of Yosida inclusions

M Akram, JW Chen, M Dilshad - J. Nonlinear Funct. Anal, 2018 - researchgate.net
… We establish a relationship between the graph convergence for H(·,·)-co-accretive operators
and generalized Yosida approximation operators. Finally, the existence and uniqueness of …