Geodesic
On some common fixed point theorems with PPF dependence in Banach spaces
Dhage, Bapurao C.1
1 Kasubai, , Gurukul Colony, , Ahmedpur-413 515, Dist. Latur, Maharashtra, India
Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 3, p. 220-232.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, some results concerning the existence of common fixed points, coincidence points and approximating fixed points with PPF dependence for the pairs of operators in Banach spaces satisfying a generalized contractive condition are proved. The novelty of the present work lies in the fact that the domain and the range spaces of the operators in questions are not same and all the results are obtained via constructive methods. Our results generalize and extend the fixed point theorems with PPF dependence of Bernfeld et al. [S. R. Bernfeld, V. Lakshmikatham and Y. M. Reddy, Applicable Anal. 6 (1977), 271-280] and Dhage [B. C. Dhage, Fixed point Theory, (to appear)] under more general contractive conditions.
DOI : 10.22436/jnsa.005.03.06
Classification : 34K10, 47H10
Keywords: Banach space, Fixed point theorem, PPF dependence.

Dhage, Bapurao C. 1

1 Kasubai, , Gurukul Colony, , Ahmedpur-413 515, Dist. Latur, Maharashtra, India 
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Dhage, Bapurao C. On some common fixed point theorems  with PPF dependence in Banach spaces. Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 3, p. 220-232. doi : 10.22436/jnsa.005.03.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.03.06/

[1] Bernfeld, S. R.; Lakshmikatham, V.; Y. M. Reddy Fixed point theorems of operators with PPF dependence in Banach spaces, Applicable Anal. , Volume 6 (1977), pp. 271-280

[2] Ćirić, Lj. B. Generalized contraction and fixed point theorems, Publ. Inst Math , Volume 12 (1971), pp. 19-26

[3] Ćirić, Lj. B. A generalization of Banach's contraction principle, PAMS, Volume 45 (1974), pp. 267-273

[4] B. C. Dhage Fixed point theorems with PPF dependence and functional differential equations, Fixed point Theory, Volume 12 (2011)

[5] Dhage, B. C. Some basic random fixed point theorems with PPF dependence and functional random differential equations, Diff. Equ. Appl., Volume 4 (2012), pp. 181-195

[6] Kannan, R. Some results on fixed points II, Amer. Math. Monthly , Volume 76 (1969), pp. 405-408

[7] Petryshyn, W. V.; Williamson, T. E. Strong and weak convergence of the sequences of successive approximations for quasi-nonexpansive mappings, J. Math. Anal. Appl. , Volume 43 (1973), pp. 459-497

[8] Rhoades, B. E. A comparison of various definitions of contractive mappings, Trans. AMS , Volume 226 (1977), pp. 257-290

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