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A Study of Caristi’s Fixed Point Theorem on Normed Space and Its Applications
Department of Mathematics, Uttara University, Dhaka, Bangladesh
Department of Mathematics, Uttara University, Dhaka, Bangladesh
Department of Mathematics, Uttara University, Dhaka, Bangladesh
Department of Mathematics, Jashore University of Science and Technology, Jashore, Bangladesh
- 1 Department of Mathematics, Uttara University, Dhaka, Bangladesh
- 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh
- 3 Department of Mathematics, Uttara University, Dhaka, Bangladesh
- 4 Department of Mathematics, Jashore University of Science and Technology, Jashore, Bangladesh
Advances in Pure Mathematics·Volume 11 (2021)·Pages 169–179·Published 12 March 2021·DOI10.4236/apm.2021.113012
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Abstract
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.
KeywordsNormUniformityMizoguchi and Takahashi’sRich’s ProblemCaristi’s Fixed Point TheoremStrong and Weak ContractionSemi-Continuous
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