Abstract and Applied Analysis

Implicit Approximation Scheme for the Solution of K -Positive Definite Operator Equation

Naseer Shahzad, Arif Rafiq, and Habtu Zegeye

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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).

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 683295, 6 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412607383

Digital Object Identifier
doi:10.1155/2014/683295

Mathematical Reviews number (MathSciNet)
MR3191057

Zentralblatt MATH identifier
07022872

Citation

Shahzad, Naseer; Rafiq, Arif; Zegeye, Habtu. Implicit Approximation Scheme for the Solution of $K$ -Positive Definite Operator Equation. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 683295, 6 pages. doi:10.1155/2014/683295. https://projecteuclid.org/euclid.aaa/1412607383


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