scholarly journals Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

2008 ◽  
Vol 2008 (1) ◽  
pp. 648985 ◽  
Author(s):  
A Amini-Harandi ◽  
AP Farajzadeh ◽  
D O'Regan ◽  
RP Agarwal
Keyword(s):  
Metric Spaces ◽  
Upper Semicontinuous

scholarly journals Fixed points of upper semicontinuous mappings in locally G-convex spaces

1998 ◽  
Vol 58 (3) ◽  
pp. 469-478 ◽  
Author(s):  
George Xian-Zhi Yuan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Topological Spaces ◽  
Locally Convex Spaces ◽  
Upper Semicontinuous ◽  
Special Cases ◽  
Locally Convex ◽  
Convex Spaces

In this paper a new fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values is established in the setting of an abstract convex structure – called a locally G-convex space, which generalises usual convexity such as locally convex H-spaces, locally convex spaces (locally H-convex spaces), hyperconvex metric spaces and locally convex topological spaces. Our fixed point theorem includes corresponding Fan-Glicksberg type fixed point theorems in locally convex H-spaces, locally convex spaces, hyperconvex metric space and locally convex spaces in the existing literature as special cases.

Dendritations of surfaces

2017 ◽  
Vol 38 (8) ◽  
pp. 2860-2912 ◽  
Author(s):  
ALFONSO ARTIGUE
Keyword(s):  
Dynamical Systems ◽  
Metric Spaces ◽  
Upper Semicontinuous ◽  
Topological Dynamical Systems ◽  
Stable And Unstable Sets ◽  
Foliated Manifolds

In this paper we develop a generalization of foliated manifolds in the context of metric spaces. In particular we study dendritations of surfaces that are defined as maximal atlases of compatible upper semicontinuous local decompositions into dendrites. Applications are given in modeling stable and unstable sets of topological dynamical systems. For this purpose new forms of expansivity are defined.

Crystallography in two-dimensional metric spaces*

1969 ◽  
Vol 130 (1-6) ◽  
pp. 277-303 ◽  
Author(s):  
Aloysio Janner ◽  
Edgar Ascher
Keyword(s):  
Metric Spaces ◽  
Two Dimensional

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion

ON THE QUANTIFICATION OF UNIFORM PROPERTIES.PART 2

2001 ◽  
Vol 37 (1-2) ◽  
pp. 169-184
Author(s):  
B. Windels
Keyword(s):  
Metric Spaces ◽  
Uniform Spaces ◽  
Complete Metric Spaces ◽  
The Subject

In 1930 Kuratowski introduced the measure of non-compactness for complete metric spaces in order to measure the discrepancy a set may have from being compact.Since then several variants and generalizations concerning quanti .cation of topological and uniform properties have been studied.The introduction of approach uniform spaces,establishes a unifying setting which allows for a canonical quanti .cation of uniform concepts,such as completeness,which is the subject of this article.

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