×

zbMATH — the first resource for mathematics

Common fixed points for four non-self mappings in partial metric spaces. (English) Zbl 07217179
Summary: We formulate a common fixed point theorem for four non-self mappings in convex partial metric spaces. The result extends a fixed point theorem by L. Gajić and V. Rakočević [Appl. Math. Comput. 187, No. 2, 999–1006 (2007; Zbl 1118.54304)] proved for two non-self mappings in metric spaces with a Takahashi convex structure. We also provide an illustrative example on the use of the theorem.
MSC:
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Bukatin, M.; Kopperman, R.; Matthews, S.; Pajoohesh, H., Partial metric spaces, Am. Math. Mon. 116 (2009), 708-718
[2] ’Cirić, L. B., Contractive type non-self mappings on metric spaces of hyperbolic type, J. Math. Anal. Appl. 317 (2006), 28-42
[3] Ćirić, L. B.; Ume, J. S.; Khan, M. S.; Pathak, H. K., On some nonself mappings, Math. Nachr. 251 (2003), 28-33
[4] Das, K. M.; Naik, K. Viswanatha, Common fixed point theorems for commuting maps on a metric space, Proc. Am. Math. Soc. 77 (1979), 369-373
[5] Gajić, L.; Rakočević, V., Pair of non-self-mappings and common fixed points, Appl. Math. Comput. 187 (2007), 999-1006
[6] Imdad, M.; Kumar, S., Rhoades-type fixed-point theorems for a pair of nonself mappings, Comput. Math. Appl. 46 (2003), 919-927
[7] Jungck, G., Commuting mappings and fixed points, Am. Math. Mon. 83 (1976), 261-263
[8] Matthews, S. G., Partial metric topology, Papers on General Topology and Applications. 8th Summer Conf. Queens College, New York, 1992 Ann. N.Y. Acad. Sci. 728. The New York Academy of Sciences, New York (1994), 183-197 S. Andima et al
[9] Taki-Eddine, O.; Aliouche, A., Fixed point theorems in convex partial metric spaces, Konuralp J. Math. 2 (2014), 96-101
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.