Meir-Keeler contractions of integral type are still Meir-Keeler contractions.
Convergence of the sequence of successive approximations to a fixed point.
Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces.
An example for a one-parameter nonexpansive semigroup.
Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces.
Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces.
Several fixed point theorems concerning -distance.
Characterizations of fixed points of nonexpansive mappings.
Some similarity between contractions and Kannan mappings.
Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces.
A generalization of Kannan's fixed point theorem.
Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense
In this paper, we prove that a mapping on a metric space is contractive with respect to a -distance if and only if it is Kannan with respect to a -distance.
An observation on Kannan mappings
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
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.
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