EuDML | Browse

Page 1

Displaying 1 – 3 of 3

Fixed point theorem and its application to perturbed integral equations in modular function spaces.

Hajji, Ahmed, Hanebaly, Elaïdi (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Fixed point theorems for nonexpansive mappings in modular spaces

Poom Kumam (2004)

Archivum Mathematicum

In this paper, we extend several concepts from geometry of Banach spaces to modular spaces. With a careful generalization, we can cover all corresponding results in the former setting. Main result we prove says that if $ρ$ is a convex, $ρ$ -complete modular space satisfying the Fatou property and $ρ_{r}$ -uniformly convex for all $r > 0$ , C a convex, $ρ$ -closed, $ρ$ -bounded subset of $X_{ρ}$ , $T : C \to C$ a $ρ$ -nonexpansive mapping, then $T$ has a fixed point.

Fixed points of multivalued maps in modular function spaces.

Kutbi, Marwan A., Latif, Abdul (2009)

Fixed Point Theory and Applications [electronic only]

Displaying 1 – 3 of 3

Fixed point theorem and its application to perturbed integral equations in modular function spaces.

Fixed point theorems for nonexpansive mappings in modular spaces

Fixed points of multivalued maps in modular function spaces.

Currently displaying 1 – 3 of 3