Fixed Point Theorems on Some New Types of Cyclic Contractions and Their Generalization

Authors

  • Dev Raj Joshi Amity University Lucknow Campus, U.P. India
  • Piyush Kumar Tripathi Amity University Lucknow Campus, U.P. India
  • Chet Raj Bhatta Tribhuvan University, Kirtipur, Nepal

DOI:

https://doi.org/10.3126/jnms.v4i2.41461

Keywords:

Cyclic contraction, Kannan type cyclic contraction, Chatterjee type cyclic contraction, Reich type cyclic contraction, Ciric type contraction, Meir and Keeler type cyclic contraction

Abstract

There are different types of contraction in the existing literature for the generalization of Banach’s contraction principle. Our aim in this paper is to generalize cyclic contraction so that it can explain all types of cyclic contraction as a particular case. Besides all contractions in the existing literature we introduce some new types of cyclic contraction before defining the generalized cyclic contraction.

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Author Biographies

Dev Raj Joshi, Amity University Lucknow Campus, U.P. India

Amity School of Applied Science

Piyush Kumar Tripathi, Amity University Lucknow Campus, U.P. India

Department of Mathematics, Amity School of Applied Science

Chet Raj Bhatta, Tribhuvan University, Kirtipur, Nepal

Central Department of Mathematics

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Published

2021-12-17

How to Cite

Joshi, D. R., Tripathi, P. K., & Bhatta, C. R. (2021). Fixed Point Theorems on Some New Types of Cyclic Contractions and Their Generalization. Journal of Nepal Mathematical Society, 4(2), 15–20. https://doi.org/10.3126/jnms.v4i2.41461

Issue

Vol. 4 No. 2 (2021)

Section

Articles

License

© Nepal Mathematical Society