On multilinear equations

Ioannis K. Argyros


In this paper, we improve existing conditions for finding solutions of multilinear equations in Banach space using the contraction mapping principle. We also provide alternative methods for approximating the solutions of such equations.

Palabras clave

Ecuaciones; Banach space

Texto completo:



Davis, H. T. Introduction to nonlinear differential and integral equations. Dover, New York (1962).

Hille, E. and Phillips, R. S. Functional analysis and semigroups. A.M.S. colloquium publications, vol. XXXI (1957).

Kelley, C. T. Solution of H-equations by iterations. SIAM J. Math. Ana1 . 10(1979), pp. 8 44-849.

____. Approximation of solutions of some quadratic integral equations in transport theory. J. Integral Equa. 4(1982), pp. 221-237.

Rull, L. B. Quadratic equations in Banach space. Rend. Circ. Math. Palermo 10(1961), pp. 314-332.

____. Computational solution of nonlinear operator equations. John Wiley, New York (1968).

____. Solution of abstract polynomial equations by iterative methods. Mathematics Research Center, United States Army, The University of Wisconsin MRC Technical Report #892, August (1968).

____. Nonlinear functional analysis ond applications. Academic Press, New York (1971)

DOI: http://dx.doi.org/10.22199/S07160917.1988.0014.00006

Enlaces refback

  • No hay ningún enlace refback.