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Currently displaying 1 – 14 of 14

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Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense

Tomonari Suzuki — 2005

Commentationes Mathematicae

In this paper, we prove that a mapping $T$ on a metric space is contractive with respect to a $τ$ -distance if and only if it is Kannan with respect to a $τ$ -distance.

An observation on Kannan mappings

Masato Nakanishi; Tomonari Suzuki — 2010

Open Mathematics

In order to observe the condition of Kannan mappings more deeply, we prove a generalization of Kannan’s fixed point theorem.

Only 3-generalized metric spaces have a compatible symmetric topology

Tomonari Suzuki; Badriah Alamri; Misako Kikkawa — 2015

Open Mathematics

We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.

Meir-Keeler contractions of integral type are still Meir-Keeler contractions.

Suzuki, Tomonari — 2007

International Journal of Mathematics and Mathematical Sciences

Convergence of the sequence of successive approximations to a fixed point.

Suzuki, Tomonari — 2010

Fixed Point Theory and Applications [electronic only]

Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces.

Suzuki, Tomonari — 2005

Fixed Point Theory and Applications [electronic only]

An example for a one-parameter nonexpansive semigroup.

Suzuki, Tomonari — 2005

Abstract and Applied Analysis

Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces.

Suzuki, Tomonari — 2006

Abstract and Applied Analysis

Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces.

Suzuki, Tomonari — 2006

Fixed Point Theory and Applications [electronic only]

Several fixed point theorems concerning $τ$ -distance.

Suzuki, Tomonari — 2004

Fixed Point Theory and Applications [electronic only]

Characterizations of fixed points of nonexpansive mappings.

Suzuki, Tomonari — 2005

International Journal of Mathematics and Mathematical Sciences

Some similarity between contractions and Kannan mappings.

Kikkawa, Misako; Suzuki, Tomonari — 2008

Fixed Point Theory and Applications [electronic only]

Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces.

Acedo, Genaro López; Suzuki, Tomonari — 2010

Fixed Point Theory and Applications [electronic only]

A generalization of Kannan's fixed point theorem.

Enjouji, Yusuke; Nakanishi, Masato; Suzuki, Tomonari — 2009

Fixed Point Theory and Applications [electronic only]

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