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Zbl 1218.54031
Berinde, Vasile
Approximating common fixed points of noncommuting almost contractions in metric spaces. (English)
[J] Fixed Point Theory 11, No. 2, 179-188 (2010). ISSN 1583-5022

Summary: We prove the existence of coincidence points and common fixed points of noncommuting almost contractions in metric spaces. Moreover, a method for approximating the coincidence points or the common fixed points is also constructed, for which both a priori and a posteriori error estimates are obtained. These results generalize, extend and unify several classical and very recent related results in literature.
MSC 2000:
*54H25 Fixed-point theorems in topological spaces

Keywords: metric space; weakly compatible mapping; almost contraction; coincidence point; common fixed point; iterative method; convergence theorem; error estimate; rate of convergence

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