Abstract
This paper aims at treating a study of Banach fixed point theorem for mapping results that introduced in the setting of normed space. The classical Banach fixed point theorem is a generalization of this work. A fixed point theory is a beautiful mixture of Mathematical analysis to explain some conditions in which maps give excellent solutions. Here later many mathematicians used this fixed point theory to establish their results, see for instance, Picard-Lindel of Theorem, The Picard theorem, Implicit function theorem etc. Also, we developed ideas that many of known fixed point theorems can easily be derived from the Banach theorem. It extends some recent works on the extension of Banach contraction principle to metric space with norm spaces.
Highlights
A Study of Banach Fixed Point Theorem and It’s ApplicationsHow to cite this paper: Mannan, Md.A., Rahman, Md.R., Akter, H., Nahar, N. and Mondal, S
This paper aims at treating a study of Banach fixed point theorem for mapping results that introduced in the setting of normed space
It extends some recent works on the extension of Banach contraction principle to metric space with norm spaces
Summary
How to cite this paper: Mannan, Md.A., Rahman, Md.R., Akter, H., Nahar, N. and Mondal, S. (2021) A Study of Banach Fixed Point Theorem and It’s Applications. American Journal of Computational Mathematics, 11, 157-174.
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