On a fixed point theorem in a set with two metrics

Ioan A. Rus

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Ioan A. Rus "Babeş-Bolyai" University, Cluj-Napoca, Romania

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References

Barbuti, Ugo, Guerra, Sergio, Osservazioni sopra una nota precedente. (Italian) Rend. Ist. Mat. Univ. Trieste 3 (1971), 188--199 (1972), MR0313892.

Bernfeld, Stephen R., Lakshmikantham, V., An introduction to nonlinear boundary value problems. Mathematics in Science and Engineering, Vol. 109. Academic Press, Inc. [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1974. xi+386 pp., MR0445048.

Bonsall, F. F., Lectures on some fixed point theorems of functional analysis. Notes by K. B. Vedak Tata Institute of Fundamental Research, Bombay 1962 iii+176 pp., MR0198173.

Dube, L. S.; Singh, S. P., On sequence of mappings and fixed points. Nanta Math. 5 (1972), no. 2, 84--89, MR0321064.

Fraser, R. B., Jr., Nadler, S. B., Jr., Sequences of contractive maps and fixed points. Pacific J. Math. 31 1969 659--667, MR0256377.

Furi, Massimo, Martelli, Mario, Successioni di trasformazioni in uno spazio metrico e punti fissi. (Italian) Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 47 1969 27--31, MR0266187.

Iséki, Kiyoshi, A common fixed point theorem. Math. Sem. Notes Kobe Univ. 2 (1974), no. 1, paper no. 10, 2 pp., MR0413071.

Iséki, Kiyoshi, Fixed point theorems in complete metric spaces. Math. Sem. Notes Kobe Univ. 2 (1974), no. 3, Paper No. XXIX, 6 pp., MR0405393.

Iséki, Kiyoshi, Common fixed point theorems for mappings. Math. Sem. Notes Kobe Univ. 2 (1974), no. 3, paper no. XXXII, 7 pp., MR0418071.

Istrăţescu, Vasile I., Introducere în teoria punctelor fixe. (Romanian) [Introduction to the theory of fixed points] With an English summary and table of contents. Editura Academiei Republicii Socialiste România, Bucharest, 1973. 426 pp., (in Romanian) MR0500329.

Maia, M.G., Un' osservazione sulle contrazioni metriche. Rend. Sem. Mat. Univ. Padova, 40, 139-143, 1768.

Mureşan, Nicolae, Families of mappings and fixed points. (Romanian. Russian, English summary) Studia Univ. Babeş-Bolyai Ser. Math.-Mech. 19 (1974), no. 1, 13--15, MR0341463.

Nadler, Sam B., Jr., Sequences of contractions and fixed points. Pacific J. Math. 27 1968 579--585, MR0240802.

Pavel, P., Rus, I.A., Ecuaţii diferenţiale şi integrale. Edit. didactică şi pedagogică, Bucureşti, 1975 (in Romanian).

Rus, I.A., Teoria punctului fix, II, Cluj-Napoca, 1973 (in Romanian).

Rus, Ioan A., Approximation of fixed points of generalized contraction mappings. Topics in numerical analysis, II (Proc. Roy. Irish Acad. Conf., Univ. College, Dublin, 1974), pp. 157--161. Academic Press, London, 1975, MR0415599.

Rus, Ioan A., On a fixed point theorem of Maia. Studia Univ. Babeş-Bolyai Math. 22 (1977), 40--42, MR0438317.

Schwartz, L., Cours d'analyse. Herman, Paris, 1967.

Singh, S. P., Some results on fixed point theorems. Yokohama Math. J. 17 1969 61--64, MR0257839.

Singh, S. P., On a fixed point theorem in metric space. Rend. Sem. Mat. Univ. Padova 43 1970 229--232, MR0279796.

Smart, D. R., Fixed point theorems. Cambridge Tracts in Mathematics, No. 66. Cambridge University Press, London-New York, 1974. viii+93 pp., MR0467717.

Vidossich, Giovanni ,Approximation of fixed points of compact mappings. J. Math. Anal. Appl. 34 1971 86--89, MR0275247.