Some Fixed Point Theorems for New Contraction Mappings in Dislocated Quasi Metric Spaces

N. Anu

doi:https://doi.org/10.14445/22315373/IJMTT-V27P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 27 | Number 1 | Year 2015 | Article Id. IJMTT-V27P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V27P504

Some Fixed Point Theorems for New Contraction Mappings in Dislocated Quasi Metric Spaces

N. Anu

Abstract

In this paper, I have proved some fixed point theorems for new contraction conditions in dislocated quasi metric spaces. The presented results in this paper extend some well-known theorems in literature.

Keywords

fixed point, dislocated quasi-metric spaces, dq-Cauchy, dq-converges, dq-limit,dqcontinuous, contraction mapping ,generalized contraction condition

References

[1] A .Isufati, “Fixed point theorem in dislocated quasimetric spaces” Applied Mathematical sciences, vol. 4, pp. 217- 223, 2010.
[2] A.K.Dubey, Reena Shukla, R.P. Dubey,“Some Fixed Point Results in Dislocated Quasi-Metric Space” , International Journal of Mathematics Trends and Technology – Vol 9 Num 1 – May 2014
[3] A.Muralirajetal, “Generalized Fixed Point Theorems in dislocated Quasi Metric Spaces” , Advance inInequalities and Applications, ISSN 2050-7461, 2014, 2014:17.
[4] C.T .Aage and J.N.Salunke “Some results of fixed point theorem in dislocated quasi- metric space” , Bulletin of Marathadawa mathematical society, vol. 9, pp 1-5, 2008.
[5] C.T .Aage and J.N.Salunke, “The results on fixed points in dislocated and dislocated quasi-metric space”, Applied Mathematical science, 2(59):2941-2948,2008
[6] D.Panthi, K.Jha “A Result in dislocated quasi- metric space” Kathmandu university journal of science, engineering and technology vol 9, no 2, dec 2013,pp 22-27.
[7] D.Panthi, K .Jha, G.Porru“A fixed point theorem in dislocated quasi- metric space”,Amer. J. Math. Stat. 3 (2013) 153.
[8] F.M.Zeyada, G.H.Hassan.,and M.A.Ahmed., “A generalization of a fixed point theorem due to Hitzler and Seda in dislocated quasi-metric spaces”. The Arabian Journal for Sci.and Eng., 31(1A) : 111: 114, 2005.
[9] K.Zoto, E.Hoxa and A.Isufati, “Some new results in dislocated and dislocated quasi-metric spaces”, Applied Mathematical Sciences, vol.6,pp.3519-3526,2012.
[10] Muhammad Sarwar, Mujeeb Ur Rahman and Gohar Ali Some fixed point results in dislocated quasi metric (dq-metric) spaces” Sarwar et al. Journal of Inequalities and Applications 2014, 2014:278
[11] Mujeeb Ur Rahman and Muhammad Sarwar, Fixed Point Results in Dislocated Quasi Metric Spaces ,International Mathematical Forum,Vol. 9, 2014, no. 14, 677 – 682
[12] R.Shrivastava, M.Kohli, M.Sharma: Some results on fixed point theorems in dislocated quasi metric space. Int. J.Theoret. Appl. Sci. 2, 27-28 (2010)
[13] ST .Patel, M.Patel“ Some results of fixed point theorem in dislocated quasi metric space”. Int. J. Res.Mod. Eng. Technol. 1, 20-24 (2013).

Citation :

N. Anu, "Some Fixed Point Theorems for New Contraction Mappings in Dislocated Quasi Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 27, no. 1, pp. 19-27, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V27P504