Strong ideal convergence in probabilistic metric spaces
Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal clu...
Ausführliche Beschreibung
Autor*in: |
Şençimen, Celaleddin [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2009 |
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Schlagwörter: |
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Anmerkung: |
© Indian Academy of Sciences 2009 |
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Übergeordnetes Werk: |
Enthalten in: Proceedings - Mathematical Sciences - Springer-Verlag, 1980, 119(2009), 3 vom: Juni, Seite 401-410 |
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Übergeordnetes Werk: |
volume:119 ; year:2009 ; number:3 ; month:06 ; pages:401-410 |
Links: |
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DOI / URN: |
10.1007/s12044-009-0028-x |
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Katalog-ID: |
OLC2075990239 |
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10.1007/s12044-009-0028-x doi (DE-627)OLC2075990239 (DE-He213)s12044-009-0028-x-p DE-627 ger DE-627 rakwb eng 000 500 510 VZ 17,1 ssgn Şençimen, Celaleddin verfasserin aut Strong ideal convergence in probabilistic metric spaces 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2009 Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts. Probabilistic metric space strong topology strong ideal convergence strong ideal Cauchy sequence strong ideal limit point strong ideal cluster point Pehlivan, Serpil aut Enthalten in Proceedings - Mathematical Sciences Springer-Verlag, 1980 119(2009), 3 vom: Juni, Seite 401-410 (DE-627)129381608 (DE-600)165277-1 (DE-576)014766507 0253-4142 nnns volume:119 year:2009 number:3 month:06 pages:401-410 https://doi.org/10.1007/s12044-009-0028-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_179 GBV_ILN_2003 GBV_ILN_4035 GBV_ILN_4082 AR 119 2009 3 06 401-410 |
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10.1007/s12044-009-0028-x doi (DE-627)OLC2075990239 (DE-He213)s12044-009-0028-x-p DE-627 ger DE-627 rakwb eng 000 500 510 VZ 17,1 ssgn Şençimen, Celaleddin verfasserin aut Strong ideal convergence in probabilistic metric spaces 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2009 Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts. Probabilistic metric space strong topology strong ideal convergence strong ideal Cauchy sequence strong ideal limit point strong ideal cluster point Pehlivan, Serpil aut Enthalten in Proceedings - Mathematical Sciences Springer-Verlag, 1980 119(2009), 3 vom: Juni, Seite 401-410 (DE-627)129381608 (DE-600)165277-1 (DE-576)014766507 0253-4142 nnns volume:119 year:2009 number:3 month:06 pages:401-410 https://doi.org/10.1007/s12044-009-0028-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_179 GBV_ILN_2003 GBV_ILN_4035 GBV_ILN_4082 AR 119 2009 3 06 401-410 |
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10.1007/s12044-009-0028-x doi (DE-627)OLC2075990239 (DE-He213)s12044-009-0028-x-p DE-627 ger DE-627 rakwb eng 000 500 510 VZ 17,1 ssgn Şençimen, Celaleddin verfasserin aut Strong ideal convergence in probabilistic metric spaces 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2009 Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts. Probabilistic metric space strong topology strong ideal convergence strong ideal Cauchy sequence strong ideal limit point strong ideal cluster point Pehlivan, Serpil aut Enthalten in Proceedings - Mathematical Sciences Springer-Verlag, 1980 119(2009), 3 vom: Juni, Seite 401-410 (DE-627)129381608 (DE-600)165277-1 (DE-576)014766507 0253-4142 nnns volume:119 year:2009 number:3 month:06 pages:401-410 https://doi.org/10.1007/s12044-009-0028-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_179 GBV_ILN_2003 GBV_ILN_4035 GBV_ILN_4082 AR 119 2009 3 06 401-410 |
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10.1007/s12044-009-0028-x doi (DE-627)OLC2075990239 (DE-He213)s12044-009-0028-x-p DE-627 ger DE-627 rakwb eng 000 500 510 VZ 17,1 ssgn Şençimen, Celaleddin verfasserin aut Strong ideal convergence in probabilistic metric spaces 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2009 Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts. Probabilistic metric space strong topology strong ideal convergence strong ideal Cauchy sequence strong ideal limit point strong ideal cluster point Pehlivan, Serpil aut Enthalten in Proceedings - Mathematical Sciences Springer-Verlag, 1980 119(2009), 3 vom: Juni, Seite 401-410 (DE-627)129381608 (DE-600)165277-1 (DE-576)014766507 0253-4142 nnns volume:119 year:2009 number:3 month:06 pages:401-410 https://doi.org/10.1007/s12044-009-0028-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_179 GBV_ILN_2003 GBV_ILN_4035 GBV_ILN_4082 AR 119 2009 3 06 401-410 |
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Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts. © Indian Academy of Sciences 2009 |
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Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts. © Indian Academy of Sciences 2009 |
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Abstract In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts. © Indian Academy of Sciences 2009 |
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Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probabilistic metric space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">strong topology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">strong ideal convergence</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">strong ideal Cauchy sequence</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">strong ideal limit point</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">strong ideal cluster point</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pehlivan, Serpil</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Proceedings - Mathematical Sciences</subfield><subfield code="d">Springer-Verlag, 1980</subfield><subfield code="g">119(2009), 3 vom: Juni, Seite 401-410</subfield><subfield code="w">(DE-627)129381608</subfield><subfield code="w">(DE-600)165277-1</subfield><subfield code="w">(DE-576)014766507</subfield><subfield code="x">0253-4142</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:119</subfield><subfield code="g">year:2009</subfield><subfield code="g">number:3</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:401-410</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s12044-009-0028-x</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_179</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2003</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4035</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4082</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">119</subfield><subfield code="j">2009</subfield><subfield code="e">3</subfield><subfield code="c">06</subfield><subfield code="h">401-410</subfield></datafield></record></collection>
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