Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓp(·)

Fixed points for Banach and Kannan contractions in modular spaces with a graph

In this paper, we discuss the existence and uniqueness of xed points for Banach and Kannancontractions dened on modular spaces endowed with a graph. We do not impose the Δ2-conditionor the Fatou property on the modular spaces to give generalizations of some recent results. Thegiven results play as a modular version of metric xed point results.

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

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...

Some fixed points for J-type multi-valued maps in CAT(0) spaces

In this paper, we prove the existence of fixed point for J-type multi-valuedmap T in CAT(0) spaces and also we prove the strong convergence theoremsfor Ishikawa iteration scheme without using the xed point of involving map.

A RESULT ON FIXED POINTS FOR WEAKLY QUASI-CONTRACTION MAPS IN METRIC SPACES

In this paper, we give a new fixed point theorem forWeakly quasi-contraction maps in metric spaces. Our results extend and improve some fixed point and theorems in literature.