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Patel, S. T., Garg, S. and Bhardwaj, R. , Some results concerning fixed point in Hilbert space”, Journal of Engineering Research and Applications (IJERA), Vol.2 ssue.4, 1459-1461, (2012).

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Article

Common and Coincidence Fixed Point Theorems for Asymptotically Regular Mappings in Hilbert Spaces

1Department of Mathematics, Assiut University, Assiut, Egypt


American Journal of Mathematical Analysis. 2014, Vol. 2 No. 1, 8-14
DOI: 10.12691/ajma-2-1-3
Copyright © 2014 Science and Education Publishing

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.

Correspondence to: R.A.  Rashwan, Department of Mathematics, Assiut University, Assiut, Egypt. Email: rr_rashwan54@yahoo.com

Abstract

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.

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