Abstract
It is proved that a well known fixed point iteration scheme which has been used for approximating solutions of certain nonlinear demiclosed monotone-type operator equations in Hilbert spaces remains applicable in real Banach spaces with property (U, {alpha}, m+1, m). These Banach spaces include the L{sub p}-spaces, p is an element of [2,{infinity}]. An application of our results to the approximation of a solution of a certain linear operator equation in this general setting is also given. (author). 19 refs.
Citation Formats
Chidume, C E.
An iterative method for nonlinear demiclosed monotone-type operators.
IAEA: N. p.,
1991.
Web.
Chidume, C E.
An iterative method for nonlinear demiclosed monotone-type operators.
IAEA.
Chidume, C E.
1991.
"An iterative method for nonlinear demiclosed monotone-type operators."
IAEA.
@misc{etde_10157734,
title = {An iterative method for nonlinear demiclosed monotone-type operators}
author = {Chidume, C E}
abstractNote = {It is proved that a well known fixed point iteration scheme which has been used for approximating solutions of certain nonlinear demiclosed monotone-type operator equations in Hilbert spaces remains applicable in real Banach spaces with property (U, {alpha}, m+1, m). These Banach spaces include the L{sub p}-spaces, p is an element of [2,{infinity}]. An application of our results to the approximation of a solution of a certain linear operator equation in this general setting is also given. (author). 19 refs.}
place = {IAEA}
year = {1991}
month = {Jan}
}
title = {An iterative method for nonlinear demiclosed monotone-type operators}
author = {Chidume, C E}
abstractNote = {It is proved that a well known fixed point iteration scheme which has been used for approximating solutions of certain nonlinear demiclosed monotone-type operator equations in Hilbert spaces remains applicable in real Banach spaces with property (U, {alpha}, m+1, m). These Banach spaces include the L{sub p}-spaces, p is an element of [2,{infinity}]. An application of our results to the approximation of a solution of a certain linear operator equation in this general setting is also given. (author). 19 refs.}
place = {IAEA}
year = {1991}
month = {Jan}
}