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Fixed points theorems in multi-metric spaces 67References[1] M. Ya. Antonovskii, V. G. Boltyanskii and T. A. Sarymsakov, Topologicalsemifields, Tashkent, 1960.[2] M. Ya. Antonovskii, V. G. Boltyanskii and T. A. Sarymsakov, An outlineof the theory of topological semifields, Russian Math. Surveys 21:4(1966), 163-192.[3] M. Ya. Antonovskii, V. G. Boltyanskii and T. A. Sarymsakov, Topologicalsemifields and their applications to general topology, American Math.Society. Translations, Seria 2, 106, 1977.[4] A. V. Arhangel’skii, A class of spaces which contains all metric and alllocally compact spaces, Amer. Math. Soc. Transl. 92 (1970), 1-39.[5] A. V. Arhangel’skii, Mappings and spaces, Russian Math. Surveys 21:4(1966), 115-162.[6] V. Berinde and M. Choban, Remarks on some completeness conditionsinvolved in several common fixed point theorems, Creative Mathematicsand Informatics 19:1 (2010), 3-12.[7] C. Bessaga, On the converse of the Banach fixed point principle, Colloq.Math. 7:1 (1959), 41-43.[8] L.Calmuțchi and M. Choban, On a mappings with fixed points, Buletin Ştiințific.Universitatea din Piteşti, Matematica şi Informatica, 3 (1999), 91-96.[9] J. Chaber, M.M.Čoban and K. Nagami, On monotonic generalizationsof Moore spaces, Čech complete spaces and p-spaces, Fund. Math. 84(1974) 107-119.[10] M. Choban, The open mappings and spaces, Supl. Rend. Circolo Matem.di Palermo. Serie II, numero 29 (1992) 51-104.[11] M. Edelstein, An Extension of Banach’s contraction principle, Proceed.Amer. Math. Society 12 (1961), 7-10.[12] R.Engelking, General Topology, PWN. Warszawa, 1977.[13] A. Granas and J. Dugundji, Fixed point theory, Springer, New York, 2003.
68 Mitrofan M. Choban, Laurențiu I. Calmuțchi[14] G. Gruenhage, Generalized Metric spaces, In. Handbook of Set-TheoreticTopology, K. Kunen and J. E. Vaughan, eds., Elsevier, Amsterdam, 1984.[15] G. Gruenhage, Metrizable spaces and generalizations, In: RecentProgress in General Topology II, M. Hušek and J. van Mill, eds., Elsevier,Amsterdam, 2002, 201-225.[16] K. Iseki, On Banach theorem on contractive mappings, Proceed. JapanAcademy, 41 :2 (1965), 145-146.[17] A. A. Ivanov, Fixed points of mappings of metric spaces, Journa of SovietMathematics 12:1 (1979), 1-64.[18] L. Janos, A convers of Banach’s contraction theorem, Proceed. Amer.Math. Soc. 18:2 (1967), 287-289.[19] P. R. Meyers, A converse to Banach’s contraction theorem, J. Res. Nat.Bur. Standards 71B (1967), 73-76.[20] K. Morita, A survey of the theory of M-spaces, General Topology andAppl. 1 (1971), 49-55.[21] S.I.Nedev and M.M.Choban, General conception of the metrizability oftopological spaces, Annales of the Sophia University, Mathematics, 65(1973), 111-165.[22] V.Niemytzki, The method of fixed points in analysis, Uspekhi Matem.Nauk 1 (1936), 141-174.[23] B. N. Sadovskii, Limit-compact and condensing operators, RussianMath. Surveys 27:1 (1972), 85-155.[24] J.Stepfans, S.Watson and W.Just, A topological fixed point theorem forcompact Hausdorff spaces, York University, Preprint, 1991.[25] I.V.Yashchenko, Fixed points of mappings and convergence of the iterationsof the dual mappings, In: Obshchaya Topologia: Otobrajenia,Proizvedenia i Razmernosti Prostranstv, Moskva: Moskov. Gosud. Unit,1995, 131-142.[26] T. Zamfirescu, Fixed point theorem in metric spaces, Arch. Math. (Basel)23 (1972), 292-298.
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