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Interpolation Pseudo-Ordered Algebras Over Partially Ordered Fields
Characteristics of partially pseudo-ordered ( K -ordered) algebras over partially ordered fields are considered. Properties of the set L ( A ) of all...
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A class of join-completions of partially ordered semigroups
We introduce the notions of the join-completions of a partially ordered semigroup S and the weakly consistent nuclei on the power-set
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Caristi-Type Conditions in Constraint Minimisation of Map**s in Metric and Partially Ordered Spaces
We consider the problem of finding minima of map**s defined on metric and partially ordered spaces subject to constraints in the form of inclusions...
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Variational Methods in Partially Ordered Spaces
In mathematical modeling of processes occurring in logistics, management science, operations research, networks, mathematical finance, medicine, and...
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Partially Ordered Fields and Integral Domains
The article studies the division closed partial orders on fields that are algebraic over the field of rational numbers. In particular, the maximal...
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The Projective Geometry Over Partially Ordered Skew Fields
Derivative lattices associated with partially ordered linear spaces over partially ordered skew fields are considered. Properties of the convex...
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Optimization in Partially Ordered Spaces
In this chapter, we introduce solution concepts for vector- as well as set-valued optimization problems and derive characterizations by nonlinear...
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MV-algebras and Partially Cyclically Ordered Groups
We prove that there exists a functorial correspondence between MV-algebras and partially cyclically ordered groups which are the wound-rounds of...
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Interpolation Pseudo-Ordered Rings
Characteristics of partially pseudo-ordered ( K -ordered) rings are considered. Properties of the set L ( R ) of all convex directed ideals in...
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Order-Sensitive Domination in Partially Ordered Sets and Graphs
For a (finite) partially ordered set (poset) P , we call a dominating set D in the comparability graph of P , an order-sensitive dominating set in P if...
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On subamalgams of partially ordered monoids
The study of pomonoid amalgams was initiated by Fakhuruddin in the 1980s and subsequently extended by Bulman-Fleming, Sohail and the authors in the...
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Topological concepts in partially ordered vector spaces
In the context of partially ordered vector spaces one encounters different sorts of order convergence and order topologies. This article investigates...
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The Concept of Topological Well-Ordered Space
Since the general definition of topology is based on the characteristics of the standard Euclidean topology, the relationships between the ordering...
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Fixed point theorems for monotone orbitally nonexpansive type map**s in partially ordered hyperbolic metric spaces
We present a number of existence results for some general classes of monotone nonexpansive map**s in partially ordered hyperbolic metric spaces. We...
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Totally Ordered Conditional Independence Models
A subclass of lattice conditional independence models is introduced. The new class of models is called totally ordered independence models. The class...
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Prime Radicals of Directed Pseudo-Ordered Algebras Over Directed Fields
Characteristics of partially pseudo-ordered (𝒦-ordered) algebras are considered. Properties of ideals and order homomorphisms in partially...
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Non-existing and ill-behaved coequalizers of locally ordered spaces
Categories of locally ordered spaces are especially well-adapted to the realization of most precubical sets, although their colimits are not so easy...
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Solution of system of delay differential equations via new darbo type fixed point theorem in partially ordered banach space
In this work, we proposed some generalized Darbo type fixed point theorem by employing the concept of generalized operators and measure of...
