Results 1 to 10 of about 3,187 (203)

The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings [PDF]

Journal of Mathematics, 2020
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators.
M. O. Aibinu, S. C. Thakur, S. Moyo
doaj   +4 more sources

High Convergence Order Iterative Procedures for Solving Equations Originating from Real Life Problems

Mathematics, 2019
The foremost aim of this paper is to suggest a local study for high order iterative procedures for solving nonlinear problems involving Banach space valued operators. We only deploy suppositions on the first-order derivative of the operator.
Ramandeep Behl, Ioannis K. Argyros, Ali Saleh Alshomrani   +2 more
doaj   +3 more sources

Stable Iteration Procedures for Strong Pseudocontractions and Nonlinear Equations Involving Accretive Operators without Lipschitz Assumption

Journal of Mathematical Analysis and Applications, 1999
In [J. Math. Anal. Appl. 204, No. 3, 677-692 (1996; Zbl 0882.47030)] \textit{M. O. Osilike} established several stability results for certain Mann and Ishikawa iteration procedures for fixed points of Lipschitz strong pseudocontractions and solutions of nonlinear accretive operator equations in real \(q\)-uniformly smooth Banach spaces.
Haiyun Zhou
exaly   +5 more sources

Iterative solution of nonlinear equations involving set-valued uniformly accretive operators

Computers and Mathematics With Applications, 2001
Let E be a real normed linear space and let A : E ↦ 2 E be a uniformly continuous and uniformly quasi-accretive multivalued map with nonempty closed values such that the range of ( I – A ) is bounded and the inclusion f ϵ Ax has a solution x * ϵ E .
Cristopher Moore
exaly   +2 more sources

Approximation solvability of nonlinear random (A, eta)-resolvent operator equations with random relaxed cocoercive operators

Computers and Mathematics with Applications, 2009
In this paper, we introduce and study a new class of nonlinear random (A,η)-resolvent operator equations with random relaxed cocoercive operators in Hilbert spaces.
H. Lan
semanticscholar   +2 more sources

Stability of Ishikawa iteration methods with errors for strong pseudocontractions and nonlinear equations involving accretive operators in arbitrary Real Banach spaces

Mathematical and Computer Modelling, 2001
Zeqing Liu, Shin Min Kang
exaly   +2 more sources

Iterative algorithms for variational inequalities and associated nonlinear equations involving relaxed Lipschitz operators

Applied Mathematics Letters, 1996
R. Verma
exaly   +2 more sources

Iterative Solution of Nonlinear Equations Involving m-Accretive Operators in Banach Spaces

Journal of Mathematical Analysis and Applications, 1994
Zhu Liang
exaly   +2 more sources

Iterative Solution of Nonlinear Equations Involving Strongly Accretive Operators without the Lipschitz Assumption

Journal of Mathematical Analysis and Applications, 1997
Haiyun Zhou
exaly   +2 more sources

Iterative manner involving sunny nonexpansive retractions for nonlinear operators from the perspective of convex programming as applicable to differential problems, image restoration and signal recovery

AIMS Mathematics, 2023
In this paper, using sunny nonexpansive retractions which are different from the metric projection in Banach spaces, we develop the $ CR $-iteration algorithm in view of two quasi-nonexpansive nonself mappings and also give the convergence analysis for ...
D. Yambangwai, Chonjaroen Chairatsiripong, T. Thianwan   +2 more
semanticscholar   +1 more source