Title of article
On monotone mappings in modular function spaces
Author/Authors
Dehaish ، Buthinah A. Bin - King Abdulaziz University , Khamsi ، Mohamed A. - University of Texas at El Paso
Pages
10
From page
5219
To page
5228
Abstract
We prove the existence of fixed points of monotone ρ-nonexpansive mappings in ρ-uniformly convex modular function spaces. This is the modular version of Browder and Gohde fixed point theorems for monotone mappings. We also discuss the validity of this result in modular function spaces where the modular is uniformly convex in every direction. This property has never been considered in the context of modular spaces.
Keywords
Fixed point , Krasnoselskii iteration , modular function spaces , monotone mapping , nonexpansive mapping , partially ordered , uniformly convex , uniformly convex in every direction
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2475610
Link To Document