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American Journal of Mathematical Analysis. 2014, 2(1), 8-14
DOI: 10.12691/ajma-2-1-3
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Common and Coincidence Fixed Point Theorems for Asymptotically Regular Mappings in Hilbert Spaces

R.A. Rashwan1,

1Department of Mathematics, Assiut University, Assiut, Egypt

Pub. Date: February 23, 2014

Cite this paper:
R.A. Rashwan. Common and Coincidence Fixed Point Theorems for Asymptotically Regular Mappings in Hilbert Spaces. American Journal of Mathematical Analysis. 2014; 2(1):8-14. doi: 10.12691/ajma-2-1-3


In this paper we prove common and coincidences fixed point theorems for asymptotically regular mappings under various contractive conditions on a Hilbert space setting. We also study the well – posedness of a common fixed point problem. Our results generalize several well known results in the literature.

asymptotically regular mappings common and coincidences fixed points weakly compatible mappings Hilbert spaces

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