On Reich fixed point theorem of G-contraction mappings on modular function spaces

نویسندگان

  • Monther Rashed Alfuraidan
  • P. Kumam
چکیده

We define the multivalued Reich (G, ρ)-contraction mappings on a modular function space. Then we obtain sufficient conditions for the existence of fixed points for such mappings. As an application, we introduce a ρ-valued Bernstein operator on the set of functions f : [0, 1] → Lρ and then give the modular analogue to Kelisky-Rivlin theorem. c ©2016 All rights reserved.

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تاریخ انتشار 2016