A Note on a Paper of I. Goleţ

Authors

  • Dorel Miheţ Depart. of Mathematics and Computer Science, Timi¸soara, Romania

DOI:

https://doi.org/10.5644/SJM.02.1.12

Keywords:

Menger space, probabilistic $C$-contraction

Abstract

In a recent paper in this journal [2] (previously named Radovi Matematički), a theorem generalizing a well-known result of Radu [6] was proved. The aim of this short note is to show that, in turn, this theorem can be obtained from the fixed point theorem of Radu.

 

1991 Mathematics Subject Classification. 54E70

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References

Gh. Constantin, I. Istr˘at¸escu, Elements of Probabilistic Analysis with Applications, Ed. Acad. Bucure¸sti and Kluwer Acad. Publ., (1989).

I. Golet¸, On contractions in probabilistic metric spaces, Rad. Mat., 13 (1) (2004), 87–92.

O. Hadˇzi´c and E. Pap, Fixed Point Theory in Probabilistic Metric Spaces, Kluwer Academic Publ., 2001.

T. L. Hicks, Fixed point theory in PM spaces, Zb. Rad. Prir. Mat. Fak., Novi Sad, 13 (1983), 63–72.

D. Mihet¸, Weak Hicks contractions, Fixed Point Theory 6(1) (2005), 71–78.

V. Radu, Some fixed point theorems in PM spaces, Lectures Notes Math, 1233 (1987), 125–133.

B. Schweizer and A. Sklar, Probabilistic Metric Spaces, North Holland, New York, Amsterdam, Oxford, 1983.

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Published

12.06.2024

How to Cite

Miheţ, D. (2024). A Note on a Paper of I. Goleţ. Sarajevo Journal of Mathematics, 2(1), 115–117. https://doi.org/10.5644/SJM.02.1.12

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Section

Articles