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Paper   IPM / M / 15174
School of Mathematics
  Title:   Optimum solutions for a system of differential equations via measure of noncompactness
  Author(s):  Moosa Gabeleh (Joint with J. Markin)
  Status:   To Appear
  Journal: Indag. Math.
  Supported by:  IPM
New classes of mappings, called cyclic (noncyclic) condensing operators, are introduced and used to investigate the existence of best proximity points (best proximity pairs) with the help of a suitable measure of noncompactness. In this way, we obtain some real generalizations of Schauder and Darbo�??s fixed point theorems. In the last section, we apply such results to study the existence of optimum solutions to a system of differential equations.

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