Extensions of fixed point theorems of Rhoades and Ćirić

Author:

Pal T. K.,Maiti M.

Abstract

In this paper fixed point theorems have been established for the mappings which are contractive over two consecutive elements of an orbit. The results, thus established, extend the theorems of B. E. Rhoades and Lj. B. Ćirić.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. A comparison of various definitions of contractive mappings;Rhoades, B. E.;Trans. Amer. Math. Soc.,1977

2. Two extensions of the Banach contraction mapping principle;Wong, James S. W.;J. Math. Anal. Appl.,1968

3. Fixed point theorems for mappings with a contractive iterate at a point;Guseman, L. F., Jr.;Proc. Amer. Math. Soc.,1970

4. Generalized contractions and fixed-point theorems;Ćirić, Ljubomir B.;Publ. Inst. Math. (Beograd) (N.S.),1971

5. A generalization of Banach’s contraction principle;Ćirić, Lj. B.;Proc. Amer. Math. Soc.,1974

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