Results 11 to 20 of about 6,938,625 (193)

Two Mappings Related To Semi-Inner Products And Their Applications in Geometry of Normed Linear Spaces [PDF]

open access: yes, 1998
In this paper we introduce two mappings associated with the lower and upper semiinner product (.,.)i and (.,.)s and with semi-inner products [.,.] (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of ...
Koliha, Jerry J, Dragomir, Sever S
core   +6 more sources

On New Notions of Orthogonality in Normed Spaces via the 2-HH-Norms [PDF]

open access: yes, 2009
Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a normed space, which are equivalent to the well-known p-norms. In this paper, notions of orthogonality in terms of 2-HH-norms are introduced.
Dragomir, Sever S, Kikianty, Eder
core   +6 more sources

A Lower Bound for Continuous Convex Mappings on Normed Linear Spaces [PDF]

open access: yes, 1998
A lower bound for continuous convex mappings defined on normed linear spaces in terms of norm derivatives and best approximants is ...
Dragomir, Sever S
core   +6 more sources

Characterization of Best Approximants from Convex Subsets and Level Sets in Normed Linear Spaces [PDF]

open access: yes, 1999
Some new characterization of best approximants from convex subsets and level sets of convex mappings in normed linear spaces in terms of norm derivatives and sub-orthogonality in Birkhoff's sense are ...
Dragomir, Sever S
core   +6 more sources

Some Remarks on Fuzzy N-Normed Spaces [PDF]

open access: yes, 2009
It is shown that every fuzzy n-normed space naturally induces a locally convex topology, and that every finite dimensional fuzzy n-normed space is ...
Elagan, S.
core   +1 more source

Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]

open access: yes, 2010
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi   +1 more
core   +1 more source

Compactness in asymmetrically normed lattices. [PDF]

open access: yes, 2012
Includes abstract.Includes bibliographical references.The aim of the thesis is to investigate aspects of the theory of such spaces, concentrating mainly, but not exclusively, on nite dimensional spaces.
Mabula, Mokhwetha Daniel
core   +1 more source

On Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces [PDF]

open access: yes, 2009
The purpose of this paper is to introduce finite convergence sequences and functions preserving convergence of series in fuzzy n-normed ...
Rahmat, Mohamad Rafi Segi, Elagan, Sayed
core   +1 more source

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

open access: yesAdvanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch   +3 more
wiley   +1 more source

On Some Inequalities in Normed Linear Spaces [PDF]

open access: yes, 2007
Upper and lower bounds for the norm of a linear combination of vectors are given. Applications in obtaining various inequalities for the quantities ||x/||x|| - y/||y|| || and ||x/||y|| - y/||x|| ||, where x and y are nonzero vectors, that are related ...
Dragomir, Sever S
core   +3 more sources

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