A generalization of Amini-Harandi's fixed point theorem with an application to nonlinear mapping theory



	A generalization of Amini-Harandi's fixed point theorem with an application to nonlinear mapping theory


	Fixed Point Theory, Volume 21, No. 2, 2020, 707-714, July 1st, 2020 DOI: 10.24193/fpt-ro.2020.2.50 Authors: Kübra Özkan, Utku Gürdal and Ali Mutlu Abstract: We introduce a new fixed point theorem on complete metric spaces, which generalizes some former results, and we apply this to obtain a surjectivity theorem for Gâteaux differentiable mappings between Banach spaces. Key Words and Phrases: Complete metric space, fixed point, Gâteaux derivative. 2010 Mathematics Subject Classification: 54E50, 54H25, 47H10. Published on-line: July 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents