Computer-Aided Thinking by Mapping Text-Objects Into Metric Spaces

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.

New Approaches to Similarity Searching in Metric Spaces

Title of dissertation: NEW APPROACHES TO SIMILARITY SEARCHING IN METRIC SPACES Cengiz Celik, Doctor of Philosophy, 2006 Dissertation directed by: Professor David Mount Department of Computer Science The complex and unstructured nature of many types of data, such as multimedia objects, text documents, protein sequences, requires the use of similarity search techniques for retrieval of informatio...

Coincidence point theorem in ordered fuzzy metric spaces and its application in integral inclusions

The purpose of this paper is to present some coincidence point and common  fixed point theorems for multivalued contraction maps in complete fuzzy  metric spaces endowed with a partial order. As an application, we give  an existence theorem of solution for general classes of integral  inclusions by the coincidence point theorem.

The Existence Theorem for Contractive Mappings on $wt$-distance in $b$-metric Spaces Endowed with a Graph and its Application

In this paper, we study the existence and uniqueness of fixed points for mappings with respect to a $wt$-distance in $b$-metric spaces endowed with a graph. Our results are significant, since we replace the condition of continuity of mapping with the condition of orbitally $G$-continuity of mapping and we consider $b$-metric spaces with graph instead of $b$-metric spaces, under which can be gen...

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces