×

On some common fixed point theorems with PPF dependence in Banach spaces. (English) Zbl 1439.47036

Summary: In this paper, some results concerning the existence of common fixed points, coincidence points and approximating fixed points with PPF dependence for 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 question are not the same and all the results are obtained via constructive methods. Our results generalize and extend the fixed point theorems with PPF dependence of S. R. Bernfeld et al. [Appl. Anal. 6, 271–280 (1977; Zbl 0375.47027)] and our own ones [Fixed Point Theory 13, No. 2, 439–452 (2012; Zbl 1285.34060)] under more general contractive conditions.

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
PDFBibTeX XMLCite
Full Text: DOI Link