A Study of Caristi’s Fixed Point Theorem on Normed Space


Authors : Md. Abdul Mannan; Halima Akter; Nazmun Nahar

Volume/Issue : Volume 6 - 2021, Issue 2 - February

Google Scholar : http://bitly.ws/9nMw

Scribd : https://bit.ly/38qjKa3

Abstract : This paper aims at treating a study of Caristi’s fixed point theorem for mapping results that introduced in the setting of normed space. The classical Caristi’s fixed point theorem is a generalization of this work.

Keywords : Norm Space, Complete Norm Space, Operator, Transfinite induction, Zorn’s lemma and Banach Fixed Point Theorem.

This paper aims at treating a study of Caristi’s fixed point theorem for mapping results that introduced in the setting of normed space. The classical Caristi’s fixed point theorem is a generalization of this work.

Keywords : Norm Space, Complete Norm Space, Operator, Transfinite induction, Zorn’s lemma and Banach Fixed Point Theorem.

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