On a Generalization of Chatterjee's Fixed Point Theorem inb-metric Space

Authors

  • Chhabi Dhungana
  • KshitizMangal Bajracharya
  • Narayan Prasad Pahari
  • Durgesh Ojha

DOI:

https://doi.org/10.3126/njmathsci.v4i2.59526

Abstract

Abstract: Banach’s Fixed Point Theorem (BFT)deals with the certain contraction mappings of a complete metric space into itself. It states sufficient conditions for the existence and uniqueness of a fixed point. In the study of fixed point theory, BCP has been extended and generalized in many different directions in usual metric spaces. One of those generalizations is a b-metric space. Such generalizations have resulted in generalizing some popular metric fixed point theorems in the context of a b-metric space. In2013, Kir and Kiziltunc [8] attempted to generalize Chatterjee’s Fixed Point Theorem (CFPT) in the context of b-metric spaces. The proof of that generalization, however, had a minor flaw and an unstated assumption. This paper attempts to fix these issues by introducing new conditions. Keywords: Convergence, Compactness, Cauchy sequence, Metric space, b-Metric space.

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Published

2023-08-01

How to Cite

Dhungana, C. ., Bajracharya, K. ., Pahari, N. P. ., & Ojha, D. . (2023). On a Generalization of Chatterjee’s Fixed Point Theorem inb-metric Space. Nepal Journal of Mathematical Sciences, 4(2). https://doi.org/10.3126/njmathsci.v4i2.59526