On set-valued f-projections and f-farthest point mappings

Fixed Point of $T_{F}$ − contractive Single-valued Mappings

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality depended on another function. This conditions is analogous of Banach conditions and general contraction condition of integral type.

Fixed Point Theorems for Set-valued Mappings

On End and Coupled Endpoints of $theta$-$F$-Contractive Set-Valued ‎Mappings‎

In this paper, we introduce a new concept in set-valued mappings which we have called condition $(UHS)$. Then, adding this condition to a new type of contractive set-valued mappings, recently has been introduced by Amini-Harandi [Fixed and coupled fixed points of a new type contractive set-valued mapping in complete metric spaces, Fixed point theory and applications, 215 (2012)], we prove that ...

Fixed point theorems for F-expanding mappings

*Correspondence: [email protected] Department of Mathematics and Applied Physics, Rzeszów University of Technology, P.O. Box 85, Rzeszów, 35-959, Poland Abstract Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012) introduced a new concept of F-contraction and proved a fixed point theorem which generalizes the Banach contraction principle. Following this direction of research, in this...

Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings