Isaac Scientific Publishing

Advances in Analysis

A Unique Common Fixed Point Theorem for Four Mappings Satisfying Presic Type Condition in Fuzzy Metric Spaces

Download PDF (495.2 KB) PP. 143 - 150 Pub. Date: May 3, 2017

DOI: 10.22606/aan.2017.23001

Author(s)

  • K.P.R. Rao*
    Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar -522 510, A.P., India.
  • A.Som Babu

    Dept.of Basic Science Humanities, NRI Institute of Technology, Agiripalli,Andhra Pradesh,India.
  • Md.Mustaq Ali

    Dept.of Science Humanities, Usharama Engg.College, Telaprolu, Andhra Pradesh,India.

Abstract

In this paper, we obtain a Presic type fixed point theorem for two pairs of jointly 2k-weakly compatible maps in fuzzy metric spaces.We also give an example to illustrate our main theorem. We obtain two corollaries for three maps and two maps.

Keywords

Fuzzy metric spaces, presic type theorem, jointly 2k-weakly compatible mappings.

References

[1] A.George and P.Veeramani,On some results in fuzzy metric spaces, Fuzzy sets and Systems, 64(3), (1994), 395 - 399.

[2] B.Schweizer and A.Sklar, Statistical metric spaces, Pacific J.Math., 10(1),(1960),313-334.

[3] J.Rodríguez López and S.Romaguera, The Hausdorff fuzzy metric on compact sets, Fuzzy sets and systems, 147(2), (2004), 273 - 283.

[4] K.P.R.Rao, G.N.V.Kishore and Md.Mustaq Ali, Generalization of Banach contraction principle of Presic type for three maps, Math.Sci. 3(3), 2009, 273 - 280.

[5] K.P.R.Rao, Md.Mustaq Ali and B.Fisher, Some Presic type generalization of Banach contraction principle, Math.Moravica 15(2011), 41 - 47.

[6] Lj.B.Ciric and S.B.Presic, On Presic type generalization of Banach contraction mapping principle, Acta.Math.Univ.Comenianae, LXXVI (2), (2007), 143-147.

[7] M.Grabiec, Fixed points in fuzzy metric space, Fuzzy sets and Systems, 27(3), (1988), 385 - 389.

[8] P.P.Murthy and Rashmi,A common fixed point theorem of Presic type for three maps in fuzzy metric space,Annual Review of Chaos Theory,Bifurcations and Dynamical Systems,4(2013),30-36.

[9] S.B.Presic, Sur une classe d1 inequations aux differences finite et sur la convergence de certaines suites, Pub de l1 inst. Math. Belgrade, 5(19), (1965), 75-78.