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

Naseer Shahzad, Arif Rafiq, Habtu Zegeye

Research output: Contribution to journalArticle

Abstract

We construct an implicit sequence suitable for the approximation of solutions of K-positive definite operator equations in real Banach spaces. Furthermore, implicit error estimate is obtained and the convergence is shown to be faster in comparsion to the explicit error estimate obtained by Osilike and Udomene (2001).

Original languageEnglish
Article number683295
JournalAbstract and Applied Analysis
Volume2014
DOIs
Publication statusPublished - Jan 1 2014

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Implicit Scheme
Operator Equation
Approximation Scheme
Positive definite
Error Estimates
Banach spaces
Mathematical operators
Banach space
Approximation

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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abstract = "We construct an implicit sequence suitable for the approximation of solutions of K-positive definite operator equations in real Banach spaces. Furthermore, implicit error estimate is obtained and the convergence is shown to be faster in comparsion to the explicit error estimate obtained by Osilike and Udomene (2001).",
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Implicit approximation scheme for the solution of K-positive definite operator equation. / Shahzad, Naseer; Rafiq, Arif; Zegeye, Habtu.

In: Abstract and Applied Analysis, Vol. 2014, 683295, 01.01.2014.

Research output: Contribution to journalArticle

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