East Asian mathematical journal

  • 제33권3호
  • /
  • Pages.271-289
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  • 2017
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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BEST RANDOM PROXIMITY PAIR THEOREMS FOR RELATIVELY U-CONTINUOUS RANDOM OPERATORS WITH APPLICATIONS

  • Okeke, Godwin Amechi (Department of Mathematics, College of Physical and Applied Sciences, Michael Okpara University of Agriculture)
  • 투고 : 2016.12.06
  • 심사 : 2017.03.17
  • 발행 : 2017.05.31
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초록

It is our purpose in this paper to introduce the concept of best random proximity pair for subsets A and B of a separable Banach space E. We prove some best random approximation and best random proximity pair theorems of certain classes of random operators, which is the stochastic verse of the deterministic results of Eldred et al. [22], Eldred et al. [18] and Eldred and Veeramani [19]. Furthermore, our results generalize and extend recent results of Okeke and Abbas [42] and Okeke and Kim [43]. Moreover, we shall apply our results to study nonlinear stochastic integral equations of the Hammerstein type.

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참고문헌

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  1. Random Best Proximity Points for α-Admissible Mappings via Simulation Functions vol.6, pp.11, 2017, https://doi.org/10.3390/math6110262