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Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
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Non-normal cone metric and cone b-metric spaces and fixed point results
(naslov ne postoji na srpskom)
Kadelburg Z.a ORCID, Paunović Lj.b ORCID, Radenović S.c, Rad Soleimani G.d
aUniverzitet u Beogradu, Matematički fakultet, Srbija
bUniverzitet u Prištini sa privremenim sedištem u Kosovskoj Mitrovici, Učiteljski fakultet, Prizren-Leposavić, Srbija
cDžavni univerzitet u Novom Pazaru, Srbija
dYoung Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Ključne reči: topological vector space; ordered normed space; cone metric space; b-metric space; tvs-cone b-metric space; Minkowski functional
Sažetak
(ne postoji na srpskom)
We show that most fixed point results obtained so far in cone metric spaces over solid non-normal cones can be easily reduced to the case of solid normal cones and, hence, their proofs can be made much simpler. Also, cone tvs-valued spaces over solid cones are not an essential generalization of cone metric spaces. These results are consequences of the simple fact that each solid cone in a topological vector space is in fact normal under a suitably defined norm. The proof follows by using the technique of Minkowski functional. As an application of these results, we prove an extension of the classical Nemytzki-Edelstein fixed point result to (tvs)-(b)-cone metric spaces over solid cones.
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O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/SPSUNP1602177K
objavljen u SCIndeksu: 18.11.2016.

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