Ciric Fixed Point Theorems in T- Orbitally Complete Spaces with n-quasi contraction

Authors

  • PL Powar Department of Mathematics and Computer Science, Rani Durgawati University, Jabalpur, India
  • GRK Sahu Department of Mathematics, Govt. Model Science College, Rani Durgawati University, Jabalpur, India
  • Pathak A Department of Mathematics, St. Aloysius College, Rani Durgawati University, Jabalpur, India

DOI:

https://doi.org/10.26438/ijcse/v5i10.140143

Keywords:

Fixed Point, n-quasi contraction, T-Orbitally Complete space

Abstract

Poom Kuman, [Poom Kuman , Nguyen van Dung, A generalization of Ciric Fixed Point theorems, Filomat 29:7 (2015), 1549-1556] has established the generalized version of the result by Ciric [ L. B. Ciric, A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc. 45 (1974) 267-273.]. By considering the most general form of quasi-contraction viz. n-quasi contraction, the authors have established the existence of unique fixed point in T- orbitally complete spaces in this paper.

References

L. B. Ciric, “A generalization of Banach’s contraction principle”, Proceedings of the American Mathematical Society, Vol. 45, Issue. 2, pp. 267-273, 1974.

V. Berinde, “General constructive fixed point theorems for Ciri´c-type almost contractions in metric spaces”, Carpathian Journal of Mathematics, Vol. 24, Issue. 2, pp. 10 – 19, 2008.

V. Lakshmikantham and L. Ciri ´ c,”Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces”, Nonlinear Analysis, Vol. 70, Issue. 12, pp. 4341 – 4349, 2009.

Poom Kuman, “Nguyen van Dung, A generalization of Ciric Fixed Point theorems”, Filomat Vol. 29, Issue. 7, pp. 1549-1556, 2015.

L. B. Ciric, “Non-self mappings satisfying non-linear contractive condition with applications”, Nonlinear Analysis, Vol. 71, Issue. 7, pp. 2927 – 2935, 2009.

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Published

2025-11-12
CITATION
DOI: 10.26438/ijcse/v5i10.140143
Published: 2025-11-12

How to Cite

[1]
P. Powar, G. Sahu, and A. Pathak, “Ciric Fixed Point Theorems in T- Orbitally Complete Spaces with n-quasi contraction”, Int. J. Comp. Sci. Eng., vol. 5, no. 10, pp. 140–143, Nov. 2025.

Issue

Vol. 5 No. 10 (2017): IJCSE October Edition

Section

Research Article

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