Common Fixed Point Theorem in 2-Metric Space Satisfying Rational Inequality

Authors

  • Rajesh Tokse Department of Mathematics, Corporate Institute of Research & Technology, Bhopal, 462021(M.P),
  • Sanjay Choudhari Head, Department of Mathematics, Government Narmada P.G. College, Hoshangabad, Madhya Pradesh, India
  • Kamal Wadhwa Department of Mathematics, Government P.G. College, Pipariya, Madhya Pradesh, India

DOI:

https://doi.org/10.37628/jsmfe.v5i1.829

Keywords:

Common fixed point theorem, 2-metric space, rational inequality

Abstract

Some common fixed point theorems using a new technique by altering distance between the points with the help of certain continues control function. On the other hand, some fixed point theorems by using a non monotonic control function and discussed the importance of control function. In this study, using more general condition satisfying rational inequality along with by proving common fixed point theorem in 2-Metric space.

References

Khan MS. On convergence of sequences of fixed points in 2-metric space. Indian Jour. Pure. Appl. Math. 1979;10(9):1062–1067p.

Sharma A. A generalization of Banach contraction principle to 2-metric space. Math. Sem. Notes. 1979; 7:291–295p.

Sharma A. A note on fixed points in 2-metric spaces. Indian Jour, Pure Appl. Math. 1980 11(12):1580–1583p.

Naidu VRS. Some fixed-point theorems in metric and 2-metric spaces U.M.M.S. 2001;28(11):625–636p.

Khan MS, Swaleh M, Sessa S. Fixed point theorem by altering distance between the points. Bull. Aust. Math. Soc. 1984;30:1–9p.

Sastry KPR, Babu GVR. Some fixed-point theorems by altering distance between the points. India Jour. Pure. Appl. Math. 1999;30(6):641–647p.

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Published

2019-05-27

Issue

Vol. 5 No. 1 (2019)

Section

Articles