Fixed Point Theorems for Self Maps Using Generalized Altering Distance under Contractive Condition of Integral Type

I H Nagaraja Rao; S Rajesh

doi:https://doi.org/10.14445/22315373/IJMTT-V26P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 26 | Number 1 | Year 2015 | Article Id. IJMTT-V26P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V26P510

Fixed Point Theorems for Self Maps Using Generalized Altering Distance under Contractive Condition of Integral Type

I H Nagaraja Rao, S Rajesh

Abstract

In this paper, the result of Hosseini[2] is established and extended using generalized altering distance function of five, six and seven variables with weaker hypotheses.

Keywords

common fixed point, semi compatible, weakly compatible mappings.

References

[1] Y.J. Cho, B.K.Sharma and D.R.Shau, Semi-compatibility and fixed points, Math. Japonica, 42(1995),91-98.
[2] Vahid Reza Hosseini, Common fixed point theorems for maps altering distance under a contractive condition of integral type, Int. J. Contemp. Math. Sciences, vol. 5, 2010, no.33, 1615-1620.
[3] G. Jungck and B.E.Rhodes, Fixed points for set valued funcions without contnuity, Indian J.Pure Appl. Math., 29(1998),227-238.
[4] M. S. Khan, M. Swaleh, S. Sessa, Fixed point theorem by altering distance between the points, Bull. Int. J. Math. Sci., 30(1984), 1-9.\
[5] Pheiroijam Suranjoy Singh, A Related Fixed Point Theorem of Integral Type on Two Complete Fuzzy Metric Spaces, IJMTT, Vol.4(2013), V4I9P4.

Citation :

I H Nagaraja Rao, S Rajesh, "Fixed Point Theorems for Self Maps Using Generalized Altering Distance under Contractive Condition of Integral Type," International Journal of Mathematics Trends and Technology (IJMTT), vol. 26, no. 1, pp. 43-48, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V26P510