Author(s)

Md. Abdul Mannan^1*, Moqbul Hossain¹, Halima Akter¹, Samiran Mondal²

¹Department of Mathematics, Uttara University, Dhaka, Bangladesh.
²Department of Mathematics, Jashore University of Science and Technology, Jashore, Bangladesh.

In this work, we will discuss Caristi’s fixed point theorem for mapping results introduced in the setting of normed spaces. This work is a generalization of the classical Caristi’s fixed point theorem. Also, Caristi’s type of fixed points theorem was partial discussed in Reich, Mizoguchi and Takahashi’s and Amini-Harandi’s results, we developed ideas that many known fixed point theorems can easily be derived from the Caristi theorem.

Norm, Uniformity, Mizoguchi and Takahashi’s, Rich’s Problem, Caristi’s Fixed Point Theorem, Strong and Weak Contraction, Semi-Continuous

Mannan, M. , Hossain, M. , Akter, H. and Mondal, S. (2021) A Study of Caristi’s Fixed Point Theorem on Normed Space and Its Applications. Advances in Pure Mathematics, 11, 169-179. doi: 10.4236/apm.2021.113012.