Cyclic Contractions in θ-Complete Partial Cone Metric Spaces and Fixed Point Theorems

Authors

  • S. K. Malhotra
  • Satish Shukla
  • J. B. Sharma

Keywords:

Cyclic contraction; Partial cone metric space; Fixed point.

Abstract

In this paper, we introduce the generalized cyclic contractions on θ-complete partial cone metric spaces and prove a fixed point result in such spaces without assuming the normality of cone. Our result generalizes some known results from metric and cone metric spaces in θ-complete cone metric spaces. For illustration examples are provided.

Key words and phrases. Cyclic contraction; Partial cone metric space; Fixed point.

2000 Mathematics Subject Classification. 54H25, 47H10

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Published

2025-05-18

How to Cite

S. K. Malhotra, Satish Shukla, & J. B. Sharma. (2025). Cyclic Contractions in θ-Complete Partial Cone Metric Spaces and Fixed Point Theorems. Jordan Journal of Mathematics and Statistics, 7(3), 233–246. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1081

Issue

Vol. 7 No. 3 (2014)

Section

Articles