Volume 19 | Number 3 | Year 2015 | Article Id. IJMTT-V19P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P522
In this paper we prove some new theorems about common fixed point for multi-valued and single-valued mappings in p- cone metric type space satisfying a weak contractive condition. The theorems use weakly compatibility and -weakly contraction as [1].
[1] Elida Hoxha, Arslan H.Ansari, Kastriot Zoto, Some common fixed point results through generalized altering distances on dislocated metric spaces, Proceedings of EIIC, september 1-5, 2014, pages 403-409
[2] Bae, J.S, 2003, Fixed point theorems for weakly contractive multivalued mapps, J. Math. Anal. Appl284, 690-697
[3] Huang Long-Guang, Zhang Xian, Cone metric spaces and fixed point theorems of contractive mappings. Jounal of Mathematical Analysis and Applications, 332 (2007) 1468-1476.
[4] B.E. Rhoades, “A Comparison of various defintions of contractive mappings”, Transactions of American Mathematical Society, Vol 226,pp 257-290,1977.
[5] Sh. Rezapour and R. Hamlbarani, “Some notes on Cone metric spaces and fixed point theorems of contractive mappings,” Journal of Mathematical Analysis and Applications,vol. 345, no. 2, pp. 719–724, 2008.
[6] T. Abdeljaward and E. Karapinar, “Quasi-cone metric spaces and generalization of Caristi Kirk’s Theorem”, Fixed Point Theory and Application, Vol. 2009, no 1, article ID 574387.
[7] R.H. Haghi, Sh. Rezapour, Fixed points of multifunctions on regular cone metric spaces, Expo. Math. 28 (2010) 71 – 77
[8] Deimling, K., Nonlinear Functional Analysis. Berlin-Heidelberg-New York-Tokyo, Springer-Verlag, 1985.
[9] Pant, R. P, A generalization of contractive principle, J. Indian Math. Soc., 68(1-4) (2001), 25-32
[10] G. Jungck and B. E. Rhoades, Fixed Point Theorems for occasionally weakly compatible mappings, Fixed Point Theory, Volume 7, No. 2, 2006, 287-296
Eriola Sila, Elida Hoxha, Silvana Liftaj, "Some common fixed point results for four mappings on p-cone metric type space using f-phi-psi-weakly contraction," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 3, pp. 173-184, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P522