M-ideals and split faces of the quasi state space of a non-unital ordered Banach space
Sign Up to like & getrecommendations! Published in 2017 at "Positivity"
DOI: 10.1007/s11117-018-0614-1
Abstract: We characterize M-ideals in order smooth $$\infty $$∞-normed spaces by extending the notion of split faces of the state space to those of the quasi-state space. We also characterize approximate order unit spaces as those… read more here.
Keywords: order; space; state space; order smooth ... See more keywords
Some fixed point theorems for s-convex subsets in p-normed spaces based on measures of noncompactness
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DOI: 10.1007/s11784-018-0562-1
Abstract: The Kurotowskii and Hausdorff measures of noncompactness in p-normed spaces are studied, where $$0 read more here.
Keywords: measures noncompactness; normed spaces; point; point theorems ... See more keywords
COMPATIBLE LOCALLY CONVEX TOPOLOGIES ON NORMED SPACES: CARDINALITY ASPECTS
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DOI: 10.1017/s0004972717000090
Abstract: For a normed infinite-dimensional space, we prove that the family of all locally convex topologies which are compatible with the original norm topology has cardinality greater or equal to c. read more here.
Keywords: locally convex; convex topologies; normed spaces; cardinality ... See more keywords
Optimality conditions for nonsmooth vector problems in normed spaces
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DOI: 10.1080/02331934.2019.1686502
Abstract: ABSTRACT Using the approach of first- and second-order tangent sets as approximations of feasible sets and employing the concepts of approximations as generalized derivatives, we establish first- and second-order necessary and sufficient optimality conditions for… read more here.
Keywords: optimality conditions; vector problems; problems normed; normed spaces ... See more keywords
Stability of mixed type functional equation in normed spaces using fuzzy concept
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DOI: 10.1080/03081079.2019.1586683
Abstract: ABSTRACT S. M. Ulam once addressed the problem ‘when is it true that a mathematical object satisfying a certain property approximately must be close to an object satisfying the property exactly?’. This problem was solved… read more here.
Keywords: normed spaces; type functional; functional equation; mixed type ... See more keywords
On $\mathcal{I}_{{\theta}_{2}}$-convergence in fuzzy normed spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02387-9
Abstract: In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces. Then, we introduce… read more here.
Keywords: lacunary convergence; fuzzy normed; normed spaces; double sequences ... See more keywords
Some topics in differential geometry of normed spaces
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DOI: 10.1515/advgeom-2020-0001
Abstract: Abstract For a surface immersed in a three-dimensional space endowed with a smooth norm instead of an inner product, one can define analogous concepts of curvature and metric. With such concepts in mind, various questions… read more here.
Keywords: geometry normed; topics differential; normed spaces; differential geometry ... See more keywords
Topologies on normed spaces generated by porosity
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DOI: 10.2298/fil1901335k
Abstract: In the present paper we study properties of porouscontinuous functions defined by J. Borsı́k and J. Holos in 2014. We find maximal additive classes for different families of these functions. Furthermore, we define new families… read more here.
Keywords: porosity; spaces generated; normed spaces; generated porosity ... See more keywords
Isometry on Linear n-G-quasi Normed Spaces
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DOI: 10.4153/cmb-2016-061-9
Abstract: Abstract This paper generalizes the Aleksandrov problem: the Mazur-Ulam theorem on $n-G$ -quasi normed spaces. It proves that a one- $n$ -distance preserving mapping is an $n$ -isometry if and only if it has the… read more here.
Keywords: linear quasi; isometry linear; quasi normed; normed spaces ... See more keywords