On fixed point generalizations of Suzuki’s method

Some Generalizations of Jungck's Fixed Point Theorem

Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications

In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.

Some Generalizations of Mizoguchi-Takahashi’s Fixed Point Theorem

The main aim of this paper is to establish some generalizations of Mizoguchi-Takahashi’s fixed point theorem. Mathematics Subject Classification: 47H10, 54C10

Some Generalizations of Caristi’s Fixed Point Theorem with Applications

In this paper, we prove some generalizations of Caristi’s fixed point theorem, and then we give applications to Ekeland’s variational principle and maximal element theorem. Mathematics Subject Classification: 47H10, 54H25

Generalizations of -Fixed Point Theorems in Partial Metric Spaces

We consider the dualistic partial metric spaces on a set X, and we give necessary conditions for existence of fixed point and −fixed point for some maps. AMS Subject Classification: 54H25; 54E50; 54E99; 68Q55