Approximate fixed point property and unions of convex disks in the digital plane

2021 ◽  
Vol 303 ◽  
pp. 107850
Author(s):  
Laurence Boxer
Keyword(s):  
Fixed Point ◽  
Fixed Point Property ◽  
Point Property ◽  
Approximate Fixed Point ◽  
Approximate Fixed Point Property ◽  
Digital Plane

scholarly journals On the approximate fixed point property in abstract spaces

2011 ◽  
Vol 271 (3-4) ◽  
pp. 1271-1285 ◽  
Author(s):  
C. S. Barroso ◽  
O. F. K. Kalenda ◽  
P.-K. Lin
Keyword(s):  
Fixed Point ◽  
Fixed Point Property ◽  
Point Property ◽  
Approximate Fixed Point ◽  
Approximate Fixed Point Property ◽  
Abstract Spaces

scholarly journals New Results and Generalizations for Approximate Fixed Point Property and Their Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Wei-Shih Du ◽  
Farshid Khojasteh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Existence Theorems ◽  
Fixed Point Property ◽  
Point Property ◽  
Approximate Fixed Point ◽  
Nadler’S Fixed Point Theorem ◽  
Approximate Fixed Point Property

We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions andα-admissible multivalued maps. As applications of our results, some new fixed point theorems which generalize and improve Du's fixed point theorem, Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and Nadler's fixed point theorem and some well-known results in the literature are given.

scholarly journals A remark on the approximate fixed-point property

2003 ◽  
Vol 2003 (2) ◽  
pp. 93-99 ◽  
Author(s):  
Tadeusz Kuczumow
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Nonexpansive Mappings ◽  
Orthogonal Basis ◽  
Fixed Point Property ◽  
Point Property ◽  
Closed Set ◽  
Approximate Fixed Point ◽  
Approximate Fixed Point Property ◽  
Unbounded Convex

We give an example of an unbounded, convex, and closed setCin the Hilbert spacel2with the following two properties: (i)Chas the approximate fixed-point property for nonexpansive mappings, (ii)Cis not contained in a block for every orthogonal basis inl2.

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