Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators
Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direc...
Ausführliche Beschreibung
Autor*in: |
Hammad, Hasanen A. [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2022 |
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Anmerkung: |
© The Author(s) 2022 |
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Übergeordnetes Werk: |
Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2022(2022), 1 vom: 17. Aug. |
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Übergeordnetes Werk: |
volume:2022 ; year:2022 ; number:1 ; day:17 ; month:08 |
Links: |
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DOI / URN: |
10.1186/s13662-022-03724-6 |
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SPR047876409 |
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10.1186/s13662-022-03724-6 doi (DE-627)SPR047876409 (SPR)s13662-022-03724-6-e DE-627 ger DE-627 rakwb eng Hammad, Hasanen A. verfasserin (orcid)0000-0001-8724-9367 aut Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. Rational (dpeaa)DE-He213 -contraction mapping (dpeaa)DE-He213 Fixed point technique (dpeaa)DE-He213 Difference equations (dpeaa)DE-He213 Global attractor (dpeaa)DE-He213 Equilibrium point (dpeaa)DE-He213 Elmursi, Mohamed aut Rashwan, Rashwan A. aut Işık, Hüseyin (orcid)0000-0001-7558-4088 aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2022(2022), 1 vom: 17. Aug. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2022 year:2022 number:1 day:17 month:08 https://dx.doi.org/10.1186/s13662-022-03724-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_206 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4305 AR 2022 2022 1 17 08 |
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10.1186/s13662-022-03724-6 doi (DE-627)SPR047876409 (SPR)s13662-022-03724-6-e DE-627 ger DE-627 rakwb eng Hammad, Hasanen A. verfasserin (orcid)0000-0001-8724-9367 aut Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. Rational (dpeaa)DE-He213 -contraction mapping (dpeaa)DE-He213 Fixed point technique (dpeaa)DE-He213 Difference equations (dpeaa)DE-He213 Global attractor (dpeaa)DE-He213 Equilibrium point (dpeaa)DE-He213 Elmursi, Mohamed aut Rashwan, Rashwan A. aut Işık, Hüseyin (orcid)0000-0001-7558-4088 aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2022(2022), 1 vom: 17. Aug. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2022 year:2022 number:1 day:17 month:08 https://dx.doi.org/10.1186/s13662-022-03724-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_206 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4305 AR 2022 2022 1 17 08 |
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10.1186/s13662-022-03724-6 doi (DE-627)SPR047876409 (SPR)s13662-022-03724-6-e DE-627 ger DE-627 rakwb eng Hammad, Hasanen A. verfasserin (orcid)0000-0001-8724-9367 aut Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. Rational (dpeaa)DE-He213 -contraction mapping (dpeaa)DE-He213 Fixed point technique (dpeaa)DE-He213 Difference equations (dpeaa)DE-He213 Global attractor (dpeaa)DE-He213 Equilibrium point (dpeaa)DE-He213 Elmursi, Mohamed aut Rashwan, Rashwan A. aut Işık, Hüseyin (orcid)0000-0001-7558-4088 aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2022(2022), 1 vom: 17. Aug. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2022 year:2022 number:1 day:17 month:08 https://dx.doi.org/10.1186/s13662-022-03724-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_206 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4305 AR 2022 2022 1 17 08 |
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10.1186/s13662-022-03724-6 doi (DE-627)SPR047876409 (SPR)s13662-022-03724-6-e DE-627 ger DE-627 rakwb eng Hammad, Hasanen A. verfasserin (orcid)0000-0001-8724-9367 aut Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. Rational (dpeaa)DE-He213 -contraction mapping (dpeaa)DE-He213 Fixed point technique (dpeaa)DE-He213 Difference equations (dpeaa)DE-He213 Global attractor (dpeaa)DE-He213 Equilibrium point (dpeaa)DE-He213 Elmursi, Mohamed aut Rashwan, Rashwan A. aut Işık, Hüseyin (orcid)0000-0001-7558-4088 aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2022(2022), 1 vom: 17. Aug. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2022 year:2022 number:1 day:17 month:08 https://dx.doi.org/10.1186/s13662-022-03724-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_206 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4305 AR 2022 2022 1 17 08 |
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10.1186/s13662-022-03724-6 doi (DE-627)SPR047876409 (SPR)s13662-022-03724-6-e DE-627 ger DE-627 rakwb eng Hammad, Hasanen A. verfasserin (orcid)0000-0001-8724-9367 aut Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. Rational (dpeaa)DE-He213 -contraction mapping (dpeaa)DE-He213 Fixed point technique (dpeaa)DE-He213 Difference equations (dpeaa)DE-He213 Global attractor (dpeaa)DE-He213 Equilibrium point (dpeaa)DE-He213 Elmursi, Mohamed aut Rashwan, Rashwan A. aut Işık, Hüseyin (orcid)0000-0001-7558-4088 aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2022(2022), 1 vom: 17. Aug. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2022 year:2022 number:1 day:17 month:08 https://dx.doi.org/10.1186/s13662-022-03724-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_206 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4305 AR 2022 2022 1 17 08 |
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Hammad, Hasanen A. |
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Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators |
abstract |
Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. © The Author(s) 2022 |
abstractGer |
Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. © The Author(s) 2022 |
abstract_unstemmed |
Abstract The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated. © The Author(s) 2022 |
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Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators |
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Elmursi, Mohamed Rashwan, Rashwan A. Işık, Hüseyin |
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Elmursi, Mohamed Rashwan, Rashwan A. Işık, Hüseyin |
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doi_str |
10.1186/s13662-022-03724-6 |
up_date |
2024-07-03T15:34:39.218Z |
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