Author/Authors :
Lotfali Ghasab, Ehsan Department of Mathematics - Shahid Chamran University of Ahvaz, Ahvaz, Iran , Majani, Hamid Department of Mathematics - Shahid Chamran University of Ahvaz, Ahvaz, Iran , Karapinar, Erdal aculty of Fundamental Science - Industrial University of Ho Chi Minh City, Ho Chi Minh, Vietnam , Soleimani Rad, Ghasem Department of Mathematics - Faculty of Science - Islamic Azad University Central Tehran Branch, Tehran
Abstract :
In this paper, we consider some nonlinear contraction for set-valued operators and prove some fixed point results in the case of set-valued operators are ordered-close and not ordered-close, and in the case of set-valued operators are UCAV (LCAV) in quasi-ordered PM-spaces. Moreover, we present two examples and an application to show the validity of the main theorems.
Keywords :
PM-spaces , quasi-ordered , PM-spaces , ordered-close operator
