On fixed point theorems and applications to product of <em>n</em>-nonlinear integral operators in ideal spaces



	On fixed point theorems and applications to product of n-nonlinear integral operators in ideal spaces


	Fixed Point Theory, Volume 23, No. 2, 2022, 557-572, June 15th, 2022 DOI: 10.24193/fpt-ro.2022.2.09 Authors: Mohamed M.A. Metwali Abstract: The object of the present article is twofold. Firstly, we prove some fixed point theorems for the product of n-given operators need not be Banach algebras, which generalize and extend the existing results. Secondly, we apply the achieved results in proving the existence of solutions for product of n-nonlinear integral equations in ideal spaces (Orlicz spaces and Lebesgue spaces). That results shall be easily applied for numerous problems in different Banach spaces. Key Words and Phrases: Fixed point theorems, ideal spaces, product of n-integral equations, measure of noncompactness. 2010 Mathematics Subject Classification: 46E30, 45G10, 47H30, 47N20, 47H10. Published on-line: June 15th, 2022. Abstract pdf Fulltext pdf Back to volume's table of contents