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

Kuwait Journal of Science

ISMAT BEG¹  ANAMIKA GANGULY²  M. SAHA⁴  DEBASHIS DEY³ 

[1] Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore – 53200, Pakistan;Burdwan Railway Balika Vidyapith High School, Khalasipara, Burdwan – 713101, West Bengal, India;Koshigram Union Institution, Koshigram, Burdwan – 713150, West Bengal, India;Department of Mathematics, The University of Burdwan, Burdwan – 713104, West Bengal, India

关键词: Random fixed point;    GreguÅ¡ mapping;    nonlinear stochastic integral equation;    Banach space;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

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. 

【 授权许可】

Unknown