Fixed Points and Coincidence Points for Multimaps with Not Necessarily Bounded Images
نویسنده
چکیده
Many authors have been using the Hausdorffmetric to obtain fixed point and coincidence point theorems for multimaps on a metric space. In most cases, the metric nature of the Hausdorff metric is not used and the existence part of theorems can be proved without using the concept of Hausdorff metric under much less stringent conditions on maps. The aim of this paper is to illustrate this and to obtain fixed point and coincidence point theorems for multimaps with not necessarily bounded images. Incidentally we obtain improvements over the results of Chang [3], Daffer et al. [6], Jachymski [9], Mizoguchi and Takahashi [12], and Wȩgrzyk [17] on the famous conjecture of Reich on multimaps (Conjecture 3.12).
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