Fixed point theorems for Kannan-type maps

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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...

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ژورنال

عنوان ژورنال: Fixed Point Theory and Applications

سال: 2015

ISSN: 1687-1812

DOI: 10.1186/s13663-015-0286-5