ON THE SOLVABILITY OF A CLASS OF NONLINEAR FUNCTIONAL EQUATIONS

Authors:

D. C. Sanyal,

DOI NO:

https://doi.org/10.26782/jmcms.2015.10.00001

Keywords:

Supermetric space,metric space,functional equation,Hammerstein equation. ,

Abstract

It is proposed to introduce some simple criteria regarding the existence of unique solutions of a class of nonlinear functional equations in supermetric and metric spaces followed by suitable examples. The results obtained may be of much useful to many physical problems arising nonlinear equations.

Refference:

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Equations. Int J. Math. & Math. Sc. Vol. 6 (1983) p. 161-170
3) Sen, R. N. & Mukherjee, S. : A Note on a Unique Solvability of a Class of Nonlinear Equations. Int J. Math. & Math. Sc. Vol. 11 (1988) p. 201-204.
4) Collatz, L. : Functional Analysis and Numerical Mathematics. Academic Press, New York (1966).
5) Kannan, R. : Some Results on Fixed Points. Bull Cal. Math Soc., Vol 60 (1968)
p. 71-76.

Author(s): D. C. Sanyal View Download