Abstract:
We present theorems on common fixed points and coincidences for families
of multi-valued mappings of ordered sets. This generalizes some recent results
of the author and Podoprikhin as well as the classical theorems of
Knaster–Tarski, Smithson and Zermelo. We also consider
connections with the Caristi fixed-point theorem and other metrical
results.
Keywords:ordered set, multi-valued mapping, fixed point, coincidence point.
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