Abstract
In this paper, a fixed point theorem for generalized F-contractions is proved. Examples are given to illustrate the results.
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Bianchini, R.M.T.: Su un problema di S. Reich riguardante isa deipunti fissi. Boll. Un. Mat. Ital. 5, 103–108 (1972)
Ćirić, L.B.: Generalized contractions and fixed-point theorems. Publ. Inst. Math. (Beograd) (N.S.) 12, 19–26 (1971)
Ćirić, L.B.: A generalization of Banach’s contraction principle. Proc. Am. Math. Soc. 45, 267–273 (1974)
Collaço, P., Silva, J.C.: A complete comparison of 25 contraction conditions. Nonlinear Anal. TMA 30, 471–476 (1997)
Hardy, G.E., Rogers, T.D.: A generalization of a fixed point theorem of Reich. Can. Math. Bull. 16, 201–206 (1973)
Kumam, P., Dung, N.V., Sitthithakerngkiet, K.: A generalization of Ćirić fixed point theorem. Filomat (2014). Accepted
Reich, S.: Some remarks concerning contraction mappings. Can. Math. Bull. 14, 121–124 (1971)
Rhoades, B.E.: A comparison of various definitions of contractive mappings. Trans. Am. Math. Soc. 226, 257–290 (1977)
Wardowski, D.: Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl. 2012, 94 (2012)
Wardowski, D., Dung, N.V.: Fixed points of F-weak contractions on complete metric spaces. Demonstr. Math. XLVII, 146–155 (2014)
Acknowledgements
The authors sincerely thank two anonymous referees for their valuable comments on revising the paper, especially on applying the main result to integral equations. Also, the authors sincerely thank The Dong Thap Seminar on Mathematical Analysis and Its Applications for the discussion of this paper.
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Dung, N.V., Hang, V.T.L. A Fixed Point Theorem for Generalized F-Contractions on Complete Metric Spaces. Vietnam J. Math. 43, 743–753 (2015). https://doi.org/10.1007/s10013-015-0123-5
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DOI: https://doi.org/10.1007/s10013-015-0123-5