Title of article :
Random fixed point of Gregus mapping and its application to nonlinear stochastic integral equations
Author/Authors :
BEG, ISMAT Lahore School of Economics - Centre for Mathematics and Statistical Sciences, Pakistan , SAHA, M. University of Burdwan - Department of Mathematics, India , GANGULY, ANAMIKA Burdwan Railway Balika Vidyapith High School, India , DEY, DEBASHIS Koshigram Union Institution, India
Abstract :
We obtain sufficient conditions for the existence of random fixed point of Gregus type random operators on separable Banach spaces and use it to solve a random nonlinear integral equation of the form: x(t,ω) = h(t, ω) + ∫S k(t, s; ω)f(s, x)(s; ω))dμ0(s). To further illustrate, examples of nonlinear stochastic integral equation are constructed.
Keywords :
Random fixed point , Gregus mapping , nonlinear stochastic integral equation , banach space.
Journal title :
Kuwait Journal of Science
Journal title :
Kuwait Journal of Science
