Mathematics and Computational Sciences

Some fixed point results on C-class functions for generalized cyclic contractive mappings in b-metric spaces

Document Type : Original Article

Authors

Vishal Gupta 1
Naveen Mani 2
Arslan Hojat Ansari 3
Shilpa Kumari 4

1 Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana, India

2 Department of Mathematics, Chandigarh University, Gharuan, Mohali, Punjab, India

3 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

4 Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana, India

https://doi.org/10.30511/mcs.2025.2040520.1230
Abstract
The main objective of this paper is to utilize C-class sum generalized cyclic contractive rational type mappings and investigate the existence of fixed point with an auxiliary and control function in b-metric spaces. As an applications of our results, we have deduce some new and interesting corollaries. An example and some remarks also have been given to notify the importance of our main results

Keywords

Fixed point
b-metric space
partially ordered set
C- class function
cyclic contractive mappings

Subjects

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Mathematics and Computational Sciences
Volume 6, Issue 1
Winter 2025
Pages 19-29

  • Receive Date 07 September 2024
  • Revise Date 18 January 2025
  • Accept Date 18 January 2025

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