Set-Valued Fixed-Point Theorems for Generalized Contractive Mappings on Fuzzy Metric Spaces

On Fixed Point Theorems for Contractive-type Mappings in Fuzzy Metric Spaces

In this paper,  we provide two different kinds of fixed pointtheorems in  fuzzy metric spaces. The first kind is for the fuzzy$varepsilon$-contractive type mappings and  the second kind is forthe fuzzy order $psi$-contractive type mappings. They improve thecorresponding  conclusions in the literature.

On the fixed point theorems in generalized weakly contractive mappings on partial metric spaces

In this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The theorems presented are generalizations of very recent fixed point theorems due to Abdeljawad, Karapinar and Tas. To emphasize the very general nature of these results, we illustrate an example.

Some fixed point theorems for contractive multi-valued mappings induced by generalized distance in metric spaces

* Correspondence: [email protected] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand Full list of author information is available at the end of the article Abstract The purpose of this paper is to prove some existence theorems for fixed point problem by using a generalization of metric distance, namely u-distance. Consequently, some special cases are...

Fixed Point Theorems for Set-Valued Generalized Contractive Maps in Cone Metric Spaces

Banach’s contraction principle plays an important role in several branches of mathematics. Because of its importance for mathematical theory, it has been extended in many direction. Especially, Nadler [23] gave a generalization of Banach’s contraction principle to the case of set-valued maps in metric spaces. The author [13] obtained a generalization of Nadler’s fixed point theorem. They proved...

Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings