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

Naseer Shahzad; Arif Rafiq; Habtu Zegeye

doi:10.1155/2014/683295

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

Naseer Shahzad, Arif Rafiq, Habtu Zegeye

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	683295
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/683295
Publication status	Published - Jan 1 2014

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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title = "Implicit approximation scheme for the solution of K-positive definite operator equation",

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).",

author = "Naseer Shahzad and Arif Rafiq and Habtu Zegeye",

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doi = "10.1155/2014/683295",

language = "English",

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T1 - Implicit approximation scheme for the solution of K-positive definite operator equation

AU - Shahzad, Naseer

AU - Rafiq, Arif

AU - Zegeye, Habtu

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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).

AB - 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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DO - 10.1155/2014/683295

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VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 683295

ER -

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

Abstract

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