TY - JOUR T1 - SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES AU - Gangopadhyay, Mukti AU - Saha, M. AU - Baisnab, A.p. PY - 2013 DA - December JF - TWMS Journal of Applied and Engineering Mathematics JO - JAEM PB - Işık University Press WT - DergiPark SN - 2146-1147 SP - 206 EP - 213 VL - 3 IS - 2 LA - en AB - Here we prove two fixed point theorems on partial metric space, which was defined by S. Matthews [8] in 1994. In the literature one can find fixed point theorems proved on such spaces by using Picard iteration schemes. Here our main ingredient is Cantor intersection type results. KW - Partial metric space KW - contraction mapping KW - Şxed points CR - [1] Hassen Aydi, Some Fixed Point Results in ordered partial metric spaces, Math. GN(2011),1–7. CR - [2] S. Banach, Sur les operations dans ensembles abstraits et. leur application aux quations integrals, Fund .Math.3,(1922)133181(French).1,3. CR - [3] Michael Bukatin ET. A L., Partial Metric Spaces, The Mathematical Association of America, Monthly 116, 708–718. CR - [4] L. B. Ciric, Generalised contractions and fixed point theorems, Publ. Inst. Math. 12(1971), 20–26. CR - [5] S.K. Chatterjee, Fixed point theorems, Rend Acad. Bulgare Sc.25,(1972), 727–730. CR - [6] E. Karapinar, Generalisations of Cristi Kirk’s Theorem on Partial Metric Spaces, Fixed Point Theory Appl. 2011, 2011:4, 7pp. CR - [7] R. Kannan, Some results on fixed points, Bull. Calcutta Math.Soc. 60(1968),71–76. CR - [8] S. Matthews, Partial Metric Topology, Proceedings of the 8thsummer conference on Topology and its applications, Annals of The New York Academy of Sciences, 728(1994), 183–197. CR - [9] S.J. O’Neill, Two topologies are better than one, Tech. report, University of Warwick, Conventry, UK, 1995. CR - [10] S. J. O’Neill, Partial Metrics, valuations and domain theory, Proc. 11th Summer Conference on General Topology and Applications. Ann. New York Acad. Sci. 806(1996) 304–315. CR - [11] O. Valero, On Banach fixed point theorems for partial metric spaces, Appl. Gen. Top 6(2) (2005), 229–240. CR - [12] S. Oltra, O. Volero, Banach’s fixed point theorem for partial metric spaces, Rend. 1st.Mat. Univ.Triesta 36(2004), 17–26. UR - https://dergipark.org.tr/en/pub/twmsjaem/article/761411 L1 - https://dergipark.org.tr/en/download/article-file/1179922 ER -