The uniqueness and existence of solutions in a new complex function space for Kannan nonlinear dynamical systems

Volume 35, Issue 3, pp 270--290 https://dx.doi.org/10.22436/jmcs.035.03.02
Publication Date: May 09, 2024 Submission Date: February 14, 2024 Revision Date: March 04, 2024 Accteptance Date: April 15, 2024

Authors

E. A. E. Mohamed - Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia. A. A. Bakery - Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia.


Abstract

This paper explores the topological and geometric characteristics of a novel complex function space. We do this by constructing a weighted binomial matrix within the Nakano space of absolute type. The fixed points of Kannan contraction and non-expansive operators are associated with these structures. To solve Volterra-type summable equations, one can analyze practical instances and their applications.


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ISRP Style

E. A. E. Mohamed, A. A. Bakery, The uniqueness and existence of solutions in a new complex function space for Kannan nonlinear dynamical systems, Journal of Mathematics and Computer Science, 35 (2024), no. 3, 270--290

AMA Style

Mohamed E. A. E., Bakery A. A., The uniqueness and existence of solutions in a new complex function space for Kannan nonlinear dynamical systems. J Math Comput SCI-JM. (2024); 35(3):270--290

Chicago/Turabian Style

Mohamed, E. A. E., Bakery, A. A.. "The uniqueness and existence of solutions in a new complex function space for Kannan nonlinear dynamical systems." Journal of Mathematics and Computer Science, 35, no. 3 (2024): 270--290


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