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American Journal of Applied Mathematics and Statistics. 2023, 11(1), 11-12
DOI: 10.12691/AJAMS-11-1-2
Original Research

A Unique Common Fixed Point Theorem for a Metric Space with the Property (E.A)

K. Prudhvi1,

1Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India

Pub. Date: February 27, 2023

Cite this paper

K. Prudhvi. A Unique Common Fixed Point Theorem for a Metric Space with the Property (E.A). American Journal of Applied Mathematics and Statistics. 2023; 11(1):11-12. doi: 10.12691/AJAMS-11-1-2

Abstract

In this paper, we prove a unique common fixed point theorem for metric space with (E.A) property. Our result is a generalization and improvement of some recent results existing in the literature [1].

Keywords

fixed point, common fixed point, property (E. A), weakly compatible mappings

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

[1]  M. Amari and D. El. Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Appl., vol. 270, pp. 181-188, 2002.
 
[2]  S. Banach, Surlesoperations dans les ensembles abstraitsetleurs application auxequationsintegrales, Fund. Math. 3 (1922), 133-181 (in French).
 
[3]  Al-Thagafi and Shahzad, Generalized I – non expansive self maps and invariant approximations, Acta Mathematics Sinnica, vol. 24, pp. 867-876, 2008.
 
[4]  G. Junck, Compatible mappings and common fixed points, Int. J. Math. & Math .Sci., vol.9, pp. 771-779, 1986.
 
[5]  G. Junck and B. E. Rhoads, Fixed point theorems for occasionally weakly compatible mappings, Fixed point theory, vol.7, pp. 286-296, 2006.
 
[6]  Özen Özer, Saleh Omran, On the generalized C*-valued metric spaces related with Banach fixed point theory, International Journal of Advanced and Applied Sciences, 4(2), (2017), 35-37).
 
[7]  K. Prudhvi, A Unique Fixed Point Theorem on a Generalized d-Cyclic Contraction mapping in d-Metric Spaces, American Journal of Applied Mathematics and Statistics, Vol.6., No.3, (2018), 107-108.
 
[8]  K. Prudhvi, A common fixed point result in ordered complete cone metric spaces, American Journal of Applied Mathematics and Statistics, Vol.4, No.2 (2016), 43-45.
 
[9]  R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc., vol. 60, pp. 251-258, 1968.
 
[10]  G. Junck and B. E. Rhoads, Fixed point theorems for occasionally weakly compatible mappings, Erratum Fixed point theory, vol. 977, pp.383-384, 2008.
 
[11]  G. Junck, Commuting mappings and fixed points, Amer. Math. Monthly, vol. 73, pp. 261-263.