On orthogonal sets and Banach fixed point theorem


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	On orthogonal sets and Banach fixed point theorem


	Fixed Point Theory, Volume 18, No. 2, 2017, 569-578, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.45 Authors: M.E. Gordji, M. Rameani, M. De La Sen and Yeol Je Cho 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. Key Words and Phrases: Orthogonal set, fixed point, differential equation, Picard operator. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents