Examples of proper k-ball contractive retractions in F-normed spaces

Fixed points of Ćirić quasi-contractive operators in normed spaces

We establish a general theorem to approximate fixed points of Ćirić quasi-contractive operators on a normed space through the Mann iteration process with errors in the sense of Xu [10]. Our result generalizes and improves upon, among others, the corresponding results of [1,8].

Examples of Convex Functions and Classiications of Normed Spaces

We study various properties of convex functions and their connections to the structure of the spaces on which they are deened. In particular, it is shown boundedness properties of convex functions on various bornologies are related to sequential convergence in dual topologies. Convex functions whose subdiierentials have range with nonconvex interior are constructed on nonreeexive spaces, and we...

-approximation in normed spaces

Normed Gyrolinear Spaces: A Generalization of Normed Spaces Based on Gyrocommutative Gyrogroups

‎In this paper‎, ‎we consider a generalization of the real normed spaces and give some examples‎.  

Quasi-contractive Mappings in Fuzzy Metric Spaces

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.