Department of Mathematics, Imam Khomeini International University, P.O.Box 288, Qazvin 34149, Iran
Copyright © 2010 A. Abkar and M. Eslamian. This is an open access article distributed under the
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In the first part of this paper, we prove the existence of common fixed points for a commuting pair consisting of a single-valued and a multivalued mapping both satisfying the Suzuki condition in a uniformly convex Banach space. In this way, we generalize the result of Dhompongsa et al. (2006). In the second part of this paper, we prove a fixed point theorem for upper semicontinuous mappings satisfying the Suzuki condition in strictly spaces; our result generalizes a recent result of Domínguez-Benavides et al. (2009).