Nonlinear contraction and fuzzy compact operator in fuzzy Banach algebras


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	Nonlinear contraction and fuzzy compact operator in fuzzy Banach algebras


	Fixed Point Theory, Volume 20, No. 1, 2019, 289-298, February 1st, 2019 DOI: 10.24193/fpt-ro.2019.1.19 Authors: Reza Saadati Abstract: In this paper, at first, we consider the concept of fuzzy Banach algebras and fuzzy compact operators. Then we apply a fixed point theorem to solve the operator equation AxBx = x in the fuzzy Banach algebras under a nonlinear contraction. Key Words and Phrases: Banach algebra, fuzzy Banach space, nonlinear contraction, compact operator, completely continuous operator, Schauder fixed point theorem. 2010 Mathematics Subject Classification: 47H10. Published on-line: February 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents