The purpose of this paper is to introduce a new type contraction called fuzzy F-contraction. As compared the F-contraction in existing literature, our much simpler and more straightforward, since it contains only one condition—that is, function F strictly increasing. Moreover, some fixed-point theorems for are presented. Further, examples given illustrate its validity superiority. In addition, ...

In this paper, we introduce generalized contraction mapping in fuzzy metric space. Some fixed point theorems for fuzzy metric space in the sense of George and Veeramani [2]. Mathematics Subject Classification: 47H10, 54A40.

In this paper, we give a generalization of Hicks type contractions and Golet type contractions on fuzzy metric spaces. We prove some fixed point theorems for this new type contraction mappings on fuzzy metric spaces.

In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then consider coincidence quasi-best proximity point problem for class. Finally, study points weak Kannan We an example to indicate validity main result.

In this paper we prove some fixed point theorems in fuzzy cone metric spaces under some fuzzy cone contractive type conditions. Our results generalize the “fuzzy cone Banach contraction theorem” given by [T. Öner, M. B. Kandemire, B. Tanay, J. Nonlinear Sci. Appl., 8 (2015), 610–616] recently. c ©2017 All rights reserved.

In this paper, we give a generalization of Hicks type contractions and Golet type contractions in intuitionistic fuzzy metric spaces. We prove some fixed point theorems for this new type contraction mappings on intuitionistic fuzzy metric spaces. These results generalize some known results in fuzzy metric spaces and probabilistic metric spaces. AMS subject classifications: 54A40, 54E50, 54D35