Geodesic
On a method of D. Marsal for equations with positive operators
Applications of Mathematics, Tome 15 (1970) no. 6, pp. 413-417.

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In this paper is studied the equation $(^*)x=Tx+f$ in a complex Banach space $X$, its ordering being given by a normal reproducing cone $K$. Under the assumption that $(^*)$ has exactly one solution in $K$ it is shown that a certain sequence $(w_p)$ (given by iterations - which is an analogue of Marsal's method) converges to $x^*$. The paper is a generalization of Marsal's results.
DOI : 10.21136/AM.1970.103315
Classification : 65F10, 65J05 
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     title = {On a method of {D.} {Marsal} for equations with positive operators},
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Marek, Ivo. On a method of D. Marsal for equations with positive operators. Applications of Mathematics, Tome 15 (1970) no. 6, pp. 413-417. doi : 10.21136/AM.1970.103315. http://geodesic.mathdoc.fr/articles/10.21136/AM.1970.103315/

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