International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 389-396
doi:10.1155/S0161171294000530
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces
Shih-Sen Chang1
, Yeol Je Cho2
and Fan Wang3
1Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China
2Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea
3Jiangsu Industrial and Commercial School, Jiangsu, Nantong 226004, China
Abstract
In this paper, we introduce the concept of more general probabilistic contractors in probabilistic normed spaces and show the existence and uniqueness of solutions for set-valued and single-valued nonlinear operator equations in Menger probabilistic normed spaces.