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Keywords:
common fixed point; convex partial metric space; non-self mapping
common fixed point; convex partial metric space; non-self mapping
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 Gajić and Rakočević (2007) 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.
References:
[1] Bukatin, M., Kopperman, R., Matthews, S., Pajoohesh, H.: Partial metric spaces. Am. Math. Mon. 116 (2009), 708-718. DOI 10.4169/193009709X460831 | MR 2572106 | Zbl 1229.54037
[2] 'Cirić, L. B.: Contractive type non-self mappings on metric spaces of hyperbolic type. J. Math. Anal. Appl. 317 (2006), 28-42. DOI 10.1016/j.jmaa.2005.11.025 | MR 2205309 | Zbl 1089.54019
[3] Ćirić, L. B., Ume, J. S., Khan, M. S., Pathak, H. K.: On some nonself mappings. Math. Nachr. 251 (2003), 28-33. DOI 10.1002/mana.200310028 | MR 1960802 | Zbl 1024.47033
[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. DOI 10.2307/2042188 | MR 0545598 | Zbl 0418.54025
[5] Gajić, L., Rakočević, V.: Pair of non-self-mappings and common fixed points. Appl. Math. Comput. 187 (2007), 999-1006. DOI 10.1016/j.amc.2006.09.143 | MR 2323107 | Zbl 1118.54304
[6] Imdad, M., Kumar, S.: Rhoades-type fixed-point theorems for a pair of nonself mappings. Comput. Math. Appl. 46 (2003), 919-927. DOI 10.1016/S0898-1221(03)90153-2 | MR 2020449 | Zbl 1065.47059
[7] Jungck, G.: Commuting mappings and fixed points. Am. Math. Mon. 83 (1976), 261-263. DOI 10.2307/2318216 | MR 0400196 | Zbl 0321.54025
[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. DOI 10.1111/j.1749-6632.1994.tb44144.x | MR 1467773 | Zbl 0911.54025
[9] Taki-Eddine, O., Aliouche, A.: Fixed point theorems in convex partial metric spaces. Konuralp J. Math. 2 (2014), 96-101. Zbl 1306.54057
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