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Open AccessMathematics

On orthogonal sets and Banach fixed point theorem

M. Gordji, Maryam Rameani, D. Manuel, La Sen, JE Cho

2017.7.15Fixed Point Theory

DOI: 10.24193/fpt-ro.2017.2.45

Abstract

. We introduce the notion of the orthogonal sets and give a real generalization of Banach’ fixed point theorem. As an application, we find the existence of solution for a first-order ordinary differential equation.

Citation format

GORDJI, M., et al. On orthogonal sets and banach fixed point theorem. Fixed Point Theory, 2017, 18: 569–578.