On the cardinality of the coincidence set for mappings of metric, normed and partially ordered spaces

2018 ◽  
Vol 209 (8) ◽  
pp. 1107-1130 ◽  
Author(s):  
A. V. Arutyunov ◽  
E. S. Zhukovskiy ◽  
S. E. Zhukovskiy
Keyword(s):  
Partially Ordered ◽  
Coincidence Set ◽  
Partially Ordered Spaces

scholarly journals Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

2017 ◽  
Vol 18 (2) ◽  
pp. 317 ◽  
Author(s):  
Mitrofan M Choban ◽  
Vasile Berinde
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
General Concept ◽  
Type Condition ◽  
Partially Ordered ◽  
Monotonicity Properties ◽  
Contraction Type ◽  
Partially Ordered Spaces

<p>We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained results complement the corresponding ones from [M. Choban, V. Berinde, A general concept of multiple fixed point for mappings defined on  spaces with a distance, Carpathian J. Math. 33 (2017), no. 3, 275--286] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.</p>

scholarly journals Stochastic Inequalities on Partially Ordered Spaces

1977 ◽  
Vol 5 (6) ◽  
pp. 899-912 ◽  
Author(s):  
T. Kamae ◽  
U. Krengel ◽  
G. L. O'Brien
Keyword(s):  
Partially Ordered ◽  
Partially Ordered Spaces

Coincidence points of set-valued mappings in partially ordered spaces

2013 ◽  
Vol 88 (3) ◽  
pp. 727-729 ◽  
Author(s):  
A. V. Arutyunov ◽  
E. S. Zhukovskiy ◽  
S. E. Zhukovskiy
Keyword(s):  
Coincidence Points ◽  
Partially Ordered ◽  
Set Valued Mappings ◽  
Partially Ordered Spaces

scholarly journals Quasi-uniform completions of partially ordered spaces

2007 ◽  
Vol 57 (2) ◽  
Author(s):  
David Buhagiar ◽  
Tanja Telenta
Keyword(s):  
Topological Space ◽  
Partial Order ◽  
Uniform Space ◽  
Uniform Spaces ◽  
Natural Conditions ◽  
Ordered Topological Space ◽  
Partially Ordered ◽  
Partially Ordered Topological Space ◽  
Partially Ordered Spaces ◽  
Natural Way

AbstractIn this paper we define partially ordered quasi-uniform spaces (X, $$\mathfrak{U}$$ , ≤) (PO-quasi-uniform spaces) as those space with a biconvex quasi-uniformity $$\mathfrak{U}$$ on the poset (X, ≤) and give a construction of a (transitive) biconvex compatible quasi-uniformity on a partially ordered topological space when its topology satisfies certain natural conditions. We also show that under certain conditions on the topology $$\tau _{\mathfrak{U}*} $$ of a PO-quasi-uniform space (X, $$\mathfrak{U}$$ , ≤), the bicompletion $$(\tilde X,\tilde {\mathfrak{U}})$$ of (X, $$\mathfrak{U}$$ ) is also a PO-quasi-uniform space ( $$(\tilde X,\tilde {\mathfrak{U}})$$ , ⪯) with a partial order ⪯ on $$\tilde X$$ that extends ≤ in a natural way.

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