Fixed points of generalized e-concave (generalized e-convex) operators and their applications

Coupled fixed points of generalized Kanann contraction and its applications

The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...

Approximating fixed points of generalized nonexpansive mappings

Fixed point theorems for generalized concave operators and applications to fractional differential equation boundary value problems

In this paper, by introducing the concept of a generalized concave operator and the properties of cone and monotone iterative technique in ordered Banach spaces, some new existence and uniqueness theorems of fixed points for the operator under more extensive conditions are obtained. Finally, as applications, we apply the results obtained in this paper to study the existence and uniqueness of po...

Fixed Points of Ciric Quasi-contractive Operators in Generalized Convex Metric Spaces

We establish a general theorem to approximate fixed points of Ciric quasi-contractive operators on a generalized convex metric space through the Mann type iteration process with errors in the sense of Xu [11]. Our result generalizes and improves upon, among others, the corresponding results of [1, 8]. 2000 Mathematical Subject Classification: Primary 47H10, 47H17: Secondary 54H25

Generalized weakly contractive multivalued mappings and common fixed points

In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].