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http://dx.doi.org/10.7858/eamj.2017.020

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)
Publication Information
East Asian mathematical journal / v.33, no.3, 2017 , pp. 271-289 More about this Journal
Abstract
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.
Keywords
Best random proximity pair; best proximity points; best random proximity points; random operators; integral equation of the Hammerstein type;
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Times Cited By KSCI : 1  (Citation Analysis)
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