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.

In this paper, we introduce the notion of (α,HLC , fRC)-Caristi type contraction mappings and prove fixed point theorem by using this notion on complete metric space. To illustrate our result, we construct an example.

Many functional versions of the Caristi-Kirk fixed point theorem are nothing but logical equivalents of the result in question.

Recently, we improved our long-standing Metatheorem in Fixed Point Theory. In this paper, as its applications, some well-known order theoretic fixed point theo- rems are equivalently formulated to existence theorems on maximal elements, com- mon points, common stationary and others. Such the ones due Banach, Nadler, Browder-Göhde-Kirk, Caristi-Kirk, Caristi, Brøndsted, possibly many

In this paper, we introduce cone metric spaces with w−distance on X. Then we prove fixed point theorems of weakly contractive, weakly Caristi. Mathematics Subject Classification: 37C25

In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result single set-valued mappings in cone metric spaces. addition, partially addressed an open problem which spaces reduces to classical provided justification partial positive answer using theorem on uniform space. The proofs given Caristi-Kirk’s vary use different techniques.

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.

In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle. Therefore in a particular case, from this variational principle we get a Zhong type variational principle, and a Borwein-Preiss variational principle. As a consequence, we obtain a Caristi type fixed point th...

We introduce a new type of Caristi’s mapping on partial metric spaces and show that a partial metric space is complete if and only if every Caristi mapping has a fixed point. From this result we deduce a characterization of bicomplete weightable quasi-metric spaces. Several illustrative examples are given.

In this paper, we prove some multivalued Caristi type fixed point theorems. These results generalize the corresponding generalized Caristi’s fixed point theorems due to Kada-Suzuki-Takahashi (1996), Bae (2003), Suzuki (2005), Khamsi (2008) and others. 2000 Mathematics Subject Classification: 47H09, 54H25.