On new generalizations of Smarzewski’s fixed point theorem

Some Generalizations of Jungck's Fixed Point Theorem

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

New existence theorems of coincidence points approach to generalizations of Mizoguchi-Takahashi’s fixed point theorem

*Correspondence: [email protected] Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 824, Taiwan Abstract In this paper, we first establish some new existence theorems of coincidence points and common fixed points forMT -functions. By applying our results, we obtain some generalizations of Mizoguchi-Takahashi’s fixed point theorem, Nadler’s fixed point theorem a...

A New Approach to Caristi's Fixed Point Theorem on Non-Archimedean Fuzzy Metric Spaces

In the present paper, we give a new approach to Caristi's fixed pointtheorem on non-Archimedean fuzzy metric spaces. For this we define anordinary metric $d$ using the non-Archimedean fuzzy metric $M$ on a nonemptyset $X$ and we establish some relationship between $(X,d)$ and $(X,M,ast )$%. Hence, we prove our result by considering the original Caristi's fixedpoint theorem.