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

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

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 a...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.319-324-1134
Hauptverfasser: Shahzad, Naseer, Rafiq, Arif, Zegeye, Habtu
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximation theory
Banach spaces
Mathematics
Transformations (Mathematics)
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Zusammenfassung: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).
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/683295