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Mathematische Nachrichten, ISSN 0025-584X, 07/2014, Volume 287, Issue 10, pp. 1083 - 1092
Walter Roth has investigated certain equivalence relations on locally convex cones in [W. Roth, Locally convex quotient cones, J. Convex Anal. 18, No. 4,... 
quotient | 46A20 | 46A03 | Locally convex lattice cones | Quotient | MATHEMATICS
Journal Article
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 10/2018, Volume 112, Issue 4, pp. 1431 - 1441
We define the finest order on inductive limits of ordered cones which makes the linear mappings monotone and gives rise to the definition of inductive limit... 
Inductive limits | Locally convex cones | Secondary 46A20 | 46A03 | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Duality | Applications of Mathematics | Primary 46M40 | MATHEMATICS
Journal Article
Positivity, ISSN 1385-1292, 04/2019, Volume 23, Issue 2, pp. 303 - 313
Using the coarsest weak topologies, we present the necessary and sufficient conditions for the weak upper, lower and symmetric compactness of subsets in cones.... 
Products and direct sums | Locally convex cones | Weak compactness | MATHEMATICS | Cones | Topology
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 12/2016, Volume 66, Issue 6, pp. 1387 - 1398
Using a family of ordered cones, we define a suitable order to investigate projective limit topologies for cones. Under the strict separation property, the... 
Primary 46A03 | 46A20 | projective limits | X-topology | Secondary 46A13 | locally convex cones | MATHEMATICS | Convex sets | Cone | Research | Mathematical research
Journal Article
FILOMAT, ISSN 0354-5180, 2017, Volume 31, Issue 16, pp. 5073 - 5079
We define the concept of completion for locally convex cones. We show that how a locally convex cone with (SP) can be embedded as an upper dense subcone in an... 
MATHEMATICS | Locally convex cones | completion | MATHEMATICS, APPLIED
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 16, pp. 5111 - 5116
We study the locally convex cones which have finite dimension. We introduce the Euclidean convex quasiuniform structure on a finite dimensional cone. In... 
Locally convex cones | Finite dimensional cones | MATHEMATICS | MATHEMATICS, APPLIED | finite dimensional cones
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 08/2016, Volume 13, Issue 4, pp. 1921 - 1931
In this paper we define bornological and b-bornological convergence in locally convex cones. We give some characterizations for these convergences. In special... 
46A03 | 46A08 | 46A17 | MATHEMATICS | Locally convex cones | MATHEMATICS, APPLIED | bornological convergence
Journal Article
Le Matematiche, ISSN 0373-3505, 10/2014, Volume 69, Issue 2, pp. 267 - 284
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special... 
Locally convex cones | Bornological Cones
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 16, pp. 5093 - 5103
In this paper we define nearly continuity and nearly openness of linear operators between locally convex cones. Also we give some conditions on locally convex... 
Nearly continuous | Locally convex cones | Nearly open | Open mapping | MATHEMATICS | nearly open | MATHEMATICS, APPLIED | nearly continuous | open mapping
Journal Article
Studia Scientiarum Mathematicarum Hungarica, ISSN 0081-6906, 2018, Volume 55, Issue 4, pp. 487 - 497
We discuss the weakly compact subsets of direct sum cones for the upper, lower and symmetric topologies and investigate the X-topologies of the weak upper,... 
Products and direct sums | Locally convex cones | Weak compactness | MATHEMATICS | weak compactness | PRODUCTS | products and direct sums | locally convex cones
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 8/2014, Volume 11, Issue 3, pp. 913 - 927
In Motallebi and Saiflu [3], products and direct sums of cones have been investigated based on convex quasi-uniform structures. In this paper, we define the... 
product and direct sum | 20K25 | X -topology | Mathematics, general | Mathematics | 46A20 | Locally convex cone | X-topology | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 337, Issue 2, pp. 888 - 905
The theory of locally convex cones as a branch of functional analysis was presented by K. Keimel and W. Roth in [K. Keimel, W. Roth, Ordered Cones and... 
Dual pair | Adjoint operator | Locally convex cone | locally convex cone | MATHEMATICS | MATHEMATICS, APPLIED | dual pair | adjoint operator
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 71, Issue 10, pp. 5022 - 5031
The concepts of cone pseudometrics, cone uniform spaces generated by these pseudometrics, cone pseudodistances, set-valued quasi-asymptotic contractions with... 
Cone closed map | Cone metric space | Quasi-asymptotic contraction | Set-valued dynamic system | Cone pseudometric | Cone uniform space | Dynamic process | Cone pseudodistance | Cone locally convex space | Generalized sequence of iterations | Uniqueness of endpoint | MATHEMATICS, APPLIED | THEOREM | UNIQUENESS | MEIR-KEELER TYPE | MATHEMATICS | MAPS | FIXED-POINTS
Journal Article
Periodica Mathematica Hungarica, ISSN 0031-5303, 12/2017, Volume 75, Issue 2, pp. 322 - 329
We discuss the weak completeness of product and direct sum cones in the lower, upper and symmetric topologies. For the weak lower, upper and symmetric topology... 
Products and direct sums | Weak completeness | Locally convex cones | 20K25 | Mathematics, general | Mathematics | 46A30 | 46A20 | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Quaestiones Mathematicae, ISSN 1607-3606, 09/2012, Volume 35, Issue 3, pp. 353 - 390
This paper paper has two goals: Firstly, to present the conceptual proof of the Schröder-Simpson theorem. The Schröder-Simpson theorem is stated in terms of... 
Locally convex cones | probabilistic powerdomain | weak topologies and quasi-uniform structures | MATHEMATICS | COMPACT | weak topologies and quasiuniform structures | SPACES | Theorems | Cones | Asymmetry | Communities | Semantics | Proving | Vector spaces | Topology
Journal Article
Positivity, ISSN 1385-1292, 9/2011, Volume 15, Issue 3, pp. 465 - 471
We propose a definition for strict inductive limits in locally convex cones. By this definition, we prove that the strict inductive limit of a sequence of... 
46A08 | Operator Theory | Fourier Analysis | Convex quasiuniform structure | Potential Theory | 46A03 | Calculus of Variations and Optimal Control; Optimization | 46A13 | Mathematics | Strict inductive limit | Econometrics | Locally convex cone | MATHEMATICS | BOUNDEDNESS | Universities and colleges | Studies | Geometry | Theorems | Mathematical functions
Journal Article
Canadian Mathematical Bulletin, ISSN 0008-4395, 12/2012, Volume 55, Issue 4, pp. 783 - 798
In this paper we define lower, upper, and symmetric completeness and discuss closure of the sets in products and direct sums. In particular, we introduce... 
Locally convex cone | Duality | Product and direct sum | locally convex cone | MATHEMATICS | product and direct sum | duality
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 332, Issue 2, pp. 1097 - 1108
We define and study the projective and inductive limit notions for locally convex cones. We use convex quasiuniform structure method for this purpose. Also we... 
Inductive limit | Barrel | Convex quasiuniform structure | Locally convex cone | Projective limit | locally convex cone | MATHEMATICS | barrel | MATHEMATICS, APPLIED | convex quasiumform structure | projective limit | inductive limit
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 2011, Volume 24, Issue 12, pp. 2162 - 2166
In this work, Cantor’s intersection theorem is extended to cone metric spaces and as an application, a fixed point theorem is derived for mappings with locally... 
Strongly minihedral | Cone metric spaces | Locally power diminishing diameters | Locally convex diminishing diameters | Fixed point | MATHEMATICS, APPLIED | QUASI-CONTRACTION | Theorems | Mapping | Metric space | Intersections | Mathematical analysis | Fixed points (mathematics)
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 6
Journal Article
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