Some generalization of certain O. Hadžić contraction type-theorems

Authors

  • A. Miczko Politechnika Gdansk, Miodzywydyialowy Instytut, Poland
  • B. Palczewski Politechnika Gdansk, Miodzywydyialowy Instytut, Poland
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References

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.

Boyd, D. W., Wong, J. S., W. On nonlinear contractions. Proc. Amer. Math. Soc. 20 1969 458-464, MR0239559, https://doi.org/10.1090/s0002-9939-1969-0239559-9

Ćirić, Ljubomir B., Generalized contractions and fixed-point theorems. Publ. Inst. Math. (Beograd) (N.S.) 12(26) (1971), 19-26, MR0309092.

Ćirić, Ljubomir, On contraction type mappings. Math. Balkanica 1 (1971), 52-57, MR0324494.

Hadžić, Olga, A theorem on the fixed point in locally convex spaces. Rev. Roumaine Math. Pures Appl. 27 (1982), no. 7, 775-780, MR0679824.

Hadžić, O., Existence theorems for the system x=H(x,y),y=K(x,y) in locally convex spaces. Publ. Inst. Math. (Beograd) (N.S.) 16(30) (1973), 65-73, MR0355702.

Guseman, L. F., Jr., Fixed point theorems for mappings with a contractive iterate at a point. Proc. Amer. Math. Soc. 26 1970 615-618, MR0266010, https://doi.org/10.1090/s0002-9939-1970-0266010-3

Husain, S. A., Sehgal, V. M., A fixed point theorem with a functional inequality. Publ. Inst. Math. (Beograd) (N.S.) 21(35) (1977), 89-91, MR0454951.

Matkowski, Janusz, Fixed point theorems for mappings with a contractive iterate at a point. Proc. Amer. Math. Soc. 62 (1977), no. 2, 344-348, MR0436113, https://doi.org/10.1090/s0002-9939-1977-0436113-5

Miczko, A., Palczewski, B., On convergence of successive approximations of some generalized contraction mappings. Ann. Polon. Math. 40 (1983), no. 3, 213-232, MR0731438, https://doi.org/10.4064/ap-40-3-213-232

Miczko, A., Some remarks on the Sehgal generalized contraction mappings, Zeszyty Naukoowe Politechniki Gdańskiej, Matematyka XII (1982).

Netes, W., The existence and uniqueness of solution of the ordinary differential equation in locally convex space, Mat. Zam. 25(6) (1976) (in Russian).

Rus, Ioan A., On common fixed points. Studia Univ. Babeş-Bolyai Ser. Math.-Mech. 18 (1973), no. 1, 31-33, MR0336729.

Rus, Ioan A., Fixed point theorems for multi-valued mappings in complete metric spaces. Collection of articles dedicated to Tatsujiro Shimizu on the occasion of his 77th birthday. Math. Japon. 20 (1975), special issue, 21-24, MR0418075.

Rus, Ioan A., Results and problems in the metrical common fixed point theory. Mathematica (Cluj) 21(44) (1979), no. 2, 189-194, MR0594878.

Sehgal, V. M., A fixed point theorem for mappings with a contractive iterate. Proc. Amer. Math. Soc. 23 1969 631-634, MR0250292, https://doi.org/10.1090/s0002-9939-1969-0250292-x

Singh, K. L., Fixed-point theorems for contractive-type mappings. J. Math. Anal. Appl. 72 (1979), no. 1, 283-290, MR0552337, https://doi.org/10.1016/0022-247x(79)90289-0

Ważewski, T., Sur un procédé de prouver la convergence des approximations successives sans utilisation des séries de comparison. (French) Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 8 1960 47- 52, MR0126109.

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Published

1983-08-01

How to Cite

Miczko, A., & Palczewski, B. (1983). Some generalization of certain O. Hadžić contraction type-theorems. Anal. Numér. Théor. Approx., 12(2), 167–174. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1983-vol12-no2-art8

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