Implicit approximation scheme for the solution of \(K\)-positive definite operator equation
Summary: 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 \textit{M. O. Osilike} and \textit{A. Udomene} [Bull. Korean Math. Soc. 38, No. 2, 231--236 (2001; Zbl 0986.47010)].
\(K\)-positive definite operator equations
scientific article; zbMATH DE number 7022872
scientific article