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Paper   IPM / M / 15553
School of Mathematics
  Title:   A new extension of Darbo's fixed point theorem using relatively Meir-Keeler condensing operators
  Author(s):  Moosa Gabeleh (Joint with C. Vetro)
  Status:   Published
  Journal: Bull. Aust. Math. Soc.
  Vol.:  98
  Year:  2018
  Pages:   286-297
  Supported by:  IPM
We consider relatively Meir–Keeler condensing operators to study the existence of best proximity points (pairs) by using the notion of measure of noncompactness, and extend a result of Aghajani et al. [‘Fixed point theorems for Meir–Keeler condensing operators via measure of noncompactness’, Acta Math. Sci. Ser. B 35 (2015), 552–566]. As an application of our main result, we investigate the existence of an optimal solution for a system of integrodi erential equations.

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