Multivalued generalizations of the Kannan fixed point theorem

Some Generalizations of Jungck's Fixed Point Theorem

FIXED POINT THEOREM OF KANNAN-TYPE MAPPINGS IN GENERALIZED FUZZY METRIC SPACES

Binayak et al in [1] proved a fixed point of generalized Kannan type-mappings in generalized Menger spaces. In this paper we extend gen- eralized Kannan-type mappings in generalized fuzzy metric spaces. Then we prove a fixed point theorem of this kind of mapping in generalized fuzzy metric spaces. Finally we present an example of our main result.

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

Fixed point theorems for Kannan-type maps

for all x, y ∈ X. Kannan [] proved that if X is complete, then a Kannan mapping has a fixed point. It is interesting that Kannan’s theorem is independent of the Banach contraction principle []. Also, Kannan’s fixed point theorem is very important because Subrahmanyam [] proved that Kannan’s theorem characterizes the metric completeness. That is, a metric space X is complete if and only if ev...