Fixed Point Theorems in Partial 2-Metric Spaces

d5d589fe-50d1-498e-9828-614d6c35000820220331033308698wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40511520221520222110.37394/23206.2022.21https://wseas.com/journals/mathematics/2022.phpFixed Point Theorems in Partial 2-Metric SpacesHassan M.Abu-DoniaDepartment of Mathematics, Faculty of Science Zagazig University Zagazig 44519, Zagazig E*<37Hani A.AtiaDepartment of Mathematics, Faculty of Science Zagazig University Zagazig 44519, Zagazig E*<37EmanSafaaDepartment of Mathematics, Faculty of Science Zagazig University Zagazig 44519, Zagazig E*<37In this paper we aim to introduce the concept of partial 2-metric spaces and study some fixed point theorems for self mappings defined on partial 2-metric spaces.3262022326202215315922https://wseas.com/journals/mathematics/2022/a445106-007(2022).pdf10.37394/23206.2022.21.22https://wseas.com/journals/mathematics/2022/a445106-007(2022).pdf10.1016/j.mcm.2011.07.013Abdeljawad T., Fixed points for generalized weakly contractive mappings in partial metric spaces, Math. Comput. Modelling, 11-12, (2011) ,2923-2927. 10.1016/j.aml.2011.05.014Abedell jawad T., Karapınar E.,Taş K., Existence and uniqueness of common fixed point on partial metric spaces, Appl. Math. Lett. 24 (2011), 1894-1899. 10.1016/j.topol.2010.08.017Altun I., Sola F., Simsek H., Generalized contractions on partial metric spaces, Topology Appl. 157(18), (2010), 2778-2785. 10.1155/2011/508730Atun I., Erduran A., Fixed point theorem for monotone mapping on partial metric spaces, Fixed Point Theory Appl.,(2011), Article ID508730. 10.4064/fm-3-1-133-181Banach. S,: Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund.Math.(1922), 133-181. 10.1002/mana.19630260109Gahler S., 2-Metrische Raume und ihre topologische struktur, Math. Nachr., 26 (1963/64), 115-118. Gahler S., Linear 2-Metrische Raume, Math. Nachr., 28 (1965), 1-43. Gahler S., Uber die uniformisierbarkeit 2- metrischer Raume, Math. Nachr., 28 (1965), 235-244. Iseki K., Fixed point theorem in 2-metric spaces, Math. Seminar Notes, Kobe Univ., 3 (1975), 133-136. Iseki K., Sharma P. L., Sharma B. K., Contractive type mapping on 2-metric spaces, Math. Japonicae, 21 (1976), 67-70. Iseki K., Fixed point theorems in Banach spaces, Math. Seminar Notes, Kobe Univ., 2 (1976), 11- 13. 10.1016/j.aml.2011.05.013Karapinar E., Erhan I. M., Fixed point theorems for operators on partial metric spaces, Applied Mathematical Letters 24, (2011),1894-1899. 10.20431/2347-3142.0601003Lateef D., Fixed Point Theorems in 2- Metric Space for Some Contractive Conditions, International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 6, Issue 1, (2018), 16-20. Mathews G. S., Partial metric topology, Research Report 212, Dept. of Computer Science University of Warwick, (1992). Mathews G. S., Partial metric topology, Ann. New York Acad. Sci. 728 (1994),183-197.