Random fixed point of Greguš mapping and its application to nonlinear stochastic integral equations

Authors

  • ISMAT BEG Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore – 53200, Pakistan
  • M. SAHA Department of Mathematics, The University of Burdwan, Burdwan – 713104, West Bengal, India
  • ANAMIKA GANGULY Burdwan Railway Balika Vidyapith High School, Khalasipara, Burdwan – 713101, West Bengal, India
  • DEBASHIS DEY Koshigram Union Institution, Koshigram, Burdwan – 713150, West Bengal, India

Keywords:

Random fixed point, Greguš mapping, nonlinear stochastic integral equation, Banach space

Abstract

We obtain sufficient conditions for the existence of random fixed point of Greguš type random operators on separable Banach spaces and use it to solve  a random nonlinear integral equation of the form:

To further illustrate, examples of nonlinear stochastic integral equation are constructed.

 

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Published

29-04-2014