Implicit approximation scheme for the solution of \(K\)-positive definite operator equation

DOI10.1155/2014/683295zbMath1473.47040OpenAlexW1973745076WikidataQ59040567 ScholiaQ59040567MaRDI QIDQ1724731

Habtu Zegeye, Arif Rafiq, Naseer Shahzad

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/683295

zbMATH Keywords

convergencereal Banach spaces\(K\)-positive definite operator equationsimplicit approximation schemeimplicit error estimate

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations and inequalities involving linear operators, with vector unknowns (47A50) Operators on Banach spaces (47B01)

Cites Work

• Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings
• Viscosity approximation methods for nonexpansive multimaps in Banach spaces
• On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces
• Approximation of a solution for a \(K\)-positive definite operator equation
• Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps
• Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• On a class of K-p.d. and non-K-p.d. operators and operator equations
• Nonlinear semigroups and evolution equations
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Existence, uniqueness and approximation of a solution for a k-positive definite operator equation
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Strong convergence results for nonself multimaps in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Mean Value Methods in Iteration
• Unnamed Item
• Unnamed Item
• Unnamed Item