On some common fixed point theorems with PPF dependence in Banach spaces


Authors

Bapurao C. Dhage - Kasubai, , Gurukul Colony, , Ahmedpur-413 515, Dist. Latur, Maharashtra, India.


Abstract

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.


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ISRP Style

Bapurao C. Dhage, On some common fixed point theorems with PPF dependence in Banach spaces, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 3, 220--232

AMA Style

Dhage Bapurao C., On some common fixed point theorems with PPF dependence in Banach spaces. J. Nonlinear Sci. Appl. (2012); 5(3):220--232

Chicago/Turabian Style

Dhage, Bapurao C.. "On some common fixed point theorems with PPF dependence in Banach spaces." Journal of Nonlinear Sciences and Applications, 5, no. 3 (2012): 220--232


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