On a fixed point theorem in Banach algebras with applications

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Abstract

In this article it is shown that some of the hypotheses of a fixed point theorem of the present author [B.C. Dhage, On some variants of Schauder's fixed point principle and applications to nonlinear integral equations, J. Math. Phys. Sci. 25 (1988) 603-611] involving two operators in a Banach algebra are redundant. Our claim is also illustrated with the applications to some nonlinear functional integral equations for proving the existence results. © 2005 Elsevier Ltd. All rights reserved.

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Dhage, B. C. (2005). On a fixed point theorem in Banach algebras with applications. Applied Mathematics Letters, 18(3), 273–280. https://doi.org/10.1016/j.aml.2003.10.014

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