Some Similarity between Contractions and Kannan Mappings

By M. Kikkawa, Tomonari Suzuki. 2008

148 citations recorded by the source corpus.

Contractions are always continuous and Kannan mappings are not necessarily continuous. This is a very big di ﬀ erence between both mappings. However, we know that relaxed both mappings are quite similar. In this paper, we discuss both mappings from a new point of view. and the original work is

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ea3c35856a687cf846f3febeadf7a0ad2527d581

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In Applied Mathematics

In Astronomy and Astrophysics

In Geometry and Topology

Citations in the corpus

A SUZUKI TYPE FIXED POINT THEOREM FOR A GENERALIZED MULTIVALUED MAPPING ON PARTIAL HAUSDORFF METRIC SPACES (2013, result): “In the last decades, a number of fixed point results (see, for example, [10, 11, 13, 14, 20, 21, 22, 27, 31]) have been obtained in attempts to generalize the Theorem 1.”
Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications (2011, background): “(Kikkawa and Suzuki [3]) Let T be a mapping on complete metric space (X, d) and let be a non-increasing function from [0, 1) into (1/2, 1] defined by”
Suzuki-type fixed point results in metric type spaces (2012, result): “In addition to the above results, Kikkawa and Suzuki [8] provided a Kannan type version of the theorems mentioned before.”
Suzuki-type fixed point results in metric type spaces (2012, result): “Moreover, lim 𝑛→∞ 𝑇𝑛𝑥 = 𝑧 for all 𝑥 ∈ 𝑋. Suzuki proved also the following version of Edelstein’s fixed point theorem.”