Investigation of a fixed point problem for Pata-type contractions with respect to w-distance
Pata-type mappings satisfy an uncountably infinite set of inequalities parameterized by an index varying over a closed interval. Fixed point problems involving these mappings have been of considerable interest in recent times. The use of w -distance has made possible several generalizations of fixed...
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| Vydáno v: | The Journal of Analysis Ročník 32; číslo 1; s. 125 - 136 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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01.02.2024
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| ISSN: | 0971-3611, 2367-2501 |
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| Abstract | Pata-type mappings satisfy an uncountably infinite set of inequalities parameterized by an index varying over a closed interval. Fixed point problems involving these mappings have been of considerable interest in recent times. The use of
w
-distance has made possible several generalizations of fixed point results in metric fixed point theory. Combining the above two contemporary trends of research, we investigate a fixed point problem pertaining to Pata-type mappings by using
w
-distance. We establish a new existence and uniqueness fixed point result. We cite examples to show that the new result is a proper generalization of the corresponding result in metric spaces and that the theorem applies to some discontinuous functions as well. The problem of well-posedness formulated with respect to
w
-distance is also investigated. Finally, the fixed point problem obtained herein is applied to integral equations. |
|---|---|
| AbstractList | Pata-type mappings satisfy an uncountably infinite set of inequalities parameterized by an index varying over a closed interval. Fixed point problems involving these mappings have been of considerable interest in recent times. The use of w-distance has made possible several generalizations of fixed point results in metric fixed point theory. Combining the above two contemporary trends of research, we investigate a fixed point problem pertaining to Pata-type mappings by using w-distance. We establish a new existence and uniqueness fixed point result. We cite examples to show that the new result is a proper generalization of the corresponding result in metric spaces and that the theorem applies to some discontinuous functions as well. The problem of well-posedness formulated with respect to w-distance is also investigated. Finally, the fixed point problem obtained herein is applied to integral equations. Pata-type mappings satisfy an uncountably infinite set of inequalities parameterized by an index varying over a closed interval. Fixed point problems involving these mappings have been of considerable interest in recent times. The use of w -distance has made possible several generalizations of fixed point results in metric fixed point theory. Combining the above two contemporary trends of research, we investigate a fixed point problem pertaining to Pata-type mappings by using w -distance. We establish a new existence and uniqueness fixed point result. We cite examples to show that the new result is a proper generalization of the corresponding result in metric spaces and that the theorem applies to some discontinuous functions as well. The problem of well-posedness formulated with respect to w -distance is also investigated. Finally, the fixed point problem obtained herein is applied to integral equations. |
| Author | Ghosh, Sumon Chakraborty, Priyam Choudhury, Binayak S. Roy, Subhadip Saha, Parbati |
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| Cites_doi | 10.46793/KgJMat2204.533B 10.1007/978-94-017-1748-9_19 10.1090/S0002-9939-07-09055-7 10.1007/s40590-019-00248-0 10.3390/math7080720 10.1134/S0001434621050199 10.24193/fpt-ro.2021.2.46 10.1007/s00010-019-00673-6 10.1016/j.amc.2018.06.048 10.2298/FIL2004061K 10.1090/S0002-9939-1969-0239559-9 10.1007/s00025-019-1074-z 10.1007/s41478-022-00457-3 10.3390/math8030393 10.1007/s10013-017-0251-1 10.1007/978-981-13-3158-9 10.1016/0022-247X(69)90031-6 10.1007/s11784-019-0741-8 10.1515/dema-2022-0177 10.4064/fm-3-1-133-181 10.1090/S0002-9939-1973-0334176-5 10.3390/math8020220 10.3390/math8030389 10.1155/2021/2975339 10.1007/s40840-019-00742-8 10.1007/s11784-011-0060-1 |
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| References | Górnicki, J. 2020. On some mappings with a unique fixed point. Journal of Fixed Point Theory and Applications 22(8). Karapinar, E., and C. Chifu. 2020. Results in wt\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$wt$$\end{document}-distance over b-metric spaces. Mathematics 8(2). KarapinarEFulgaARakocevicVA discussion on a Pata type contraction via iterate at a pointFilomat202034410611066420547010.2298/FIL2004061K GeraghtyMAOn contractive mappingsProceedings of the American Mathematical Society19734060460833417610.1090/S0002-9939-1973-0334176-5 Aktay, M., and M. Özdemir. 2021. Some results on generalized Pata-Suzuki type contractive mappings. Journal of Mathematics 2021. Alegre Gil, C., E. Karapinar, J. Marín Molina, and P. Tirado Peláez. 2019. Revisiting Bianchini and Grandolfi theorem in the context of modified w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distances. Results in Mathematics 74(4): 1–9. Alqahtani, O., V.M. Himabindu, and E. Karapinar. 2019. On Pata-Suzuki-type contractions. Mathematics 7(8). Choudhury, B.S., and P. Chakraborty. 2022. Fixed point problem of a multi-valued Kannan-Geraghty type contraction via w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distance. The Journal of Analysis 31: 439–458. MeirAKeelerEA theorem on contraction mappingsJournal of Mathematical Analysis and Applications19692832632925029110.1016/0022-247X(69)90031-6 ChakrabortyPChoudhuryBSLocally weak version of the contraction mapping principleMathematical Notes20211096859866431074310.1134/S0001434621050199 SuzukiTA generalized Banach contraction principle that characterizes metric completenessProceedings of the American Mathematical Society200813618611869237361810.1090/S0002-9939-07-09055-7 KadaOSuzukiTTakahashiWNonconvex minimization theorems and fixed point theorems in complete metric spacesMathematica Japonicae199613815911416281 Karapinar, E., and V.M. L.H. Bindu. 2020. On Pata-Suzuki-type contractions. Mathematics 8(3). BanachSSur les opérations dans les ensembles abstraits et leurs applications aux équations intégralesFund Math.19223133181394989810.4064/fm-3-1-133-181 KarmakarSGaraiHDeyLKChandaASolution to second order differential equations via fw\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_w$$\end{document}-contractionsFixed Point Theory2021222713726429563410.24193/fpt-ro.2021.2.46 LakzianHRhoadesBESome fixed point theorems using weaker Meir-Keeler function in metric spaces with w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distanceApplied Mathematics and Computation20193421825386410810.1016/j.amc.2018.06.048 SubrahmanyamPVElementary Fixed Point Theorems2018SingaporeSpringer10.1007/978-981-13-3158-9 BarootkoobSKarapinarELakzianHChandaAExtensions of Meir–Keeler contraction via w-distances with an applicationKragujevac Journal of Mathematics2022464533547446895010.46793/KgJMat2204.533B ReichSZaslavskiAJGeneric well-posedness of fixed point problemsVietnam Journal of Mathematics201846513374376510.1007/s10013-017-0251-1 LakzianHRakocevicVAydiHExtensions of Kannan contraction via w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distancesAequationes Mathematicae20199312311244403175210.1007/s00010-019-00673-6 KhamsiMAKirkWAAn Introduction to Metric Spaces and Fixed Point Theory2011New YorkWiley ChoudhuryBSKadelburgZMetiyaNRadenovicSA survey of fixed point theorems under Pata-type conditionsBulletin of the Malaysian Mathematical Sciences Society20204312891309406142510.1007/s40840-019-00742-8 BerrahKAlioucheAOusseifTCommon fixed point theorems under Pata’s contraction in complex valued metric spaces and an application to integral equationsBoletin de la Sociedad Matematica Mexicana2020262647656411047310.1007/s40590-019-00248-0 PataVA fixed point theorem in metric spacesJournal of Fixed Point Theory and Applications201110299305286156210.1007/s11784-011-0060-1 YuanGXFixed Point and Related Theorems for Set-Valued Mappings2001DordrechtSpringer10.1007/978-94-017-1748-9_19 Karapinar, E., A. Fulga, and V. Rakocevic. 2020. A result on a Pata-Ciric type contraction at a point. Mathematics 8(3). EdelsteinMAn extension of Banach’s contraction principleProceedings of the American Mathematical Society1961121710120625 KarapinarEFulgaAAydiHStudy on Pata E-contractionsAdvances in Difference Equations2020120204157719 KarapinarERomagueraSTiradoPCharacterizations of quasi-metric and G-metric completeness involving w-distances and fixed pointsDemonstratio Mathematica2022551939951452066910.1515/dema-2022-0177 BoydDWWongJSWOn nonlinear contractionsProceedings of the American Mathematical Society196920245846423955910.1090/S0002-9939-1969-0239559-9 Reich, S., and A.J. Zaslavski. 2001. Well-posedness of fixed point problems. Far East. Journal of Mathematical Sciences Part III:393–401. MA Geraghty (612_CR12) 1973; 40 612_CR16 612_CR18 MA Khamsi (612_CR22) 2011 612_CR13 612_CR15 E Karapinar (612_CR19) 2022; 55 V Pata (612_CR26) 2011; 10 T Suzuki (612_CR30) 2008; 136 S Barootkoob (612_CR5) 2022; 46 E Karapinar (612_CR20) 2020; 34 M Edelstein (612_CR11) 1961; 12 612_CR9 GX Yuan (612_CR31) 2001 612_CR1 612_CR2 612_CR27 H Lakzian (612_CR23) 2019; 93 612_CR3 H Lakzian (612_CR24) 2019; 342 S Banach (612_CR4) 1922; 3 A Meir (612_CR25) 1969; 28 E Karapinar (612_CR17) 2020; 1 S Karmakar (612_CR21) 2021; 22 P Chakraborty (612_CR8) 2021; 109 PV Subrahmanyam (612_CR29) 2018 O Kada (612_CR14) 1996; 1 S Reich (612_CR28) 2018; 46 DW Boyd (612_CR7) 1969; 20 K Berrah (612_CR6) 2020; 26 BS Choudhury (612_CR10) 2020; 43 |
| References_xml | – reference: KarmakarSGaraiHDeyLKChandaASolution to second order differential equations via fw\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_w$$\end{document}-contractionsFixed Point Theory2021222713726429563410.24193/fpt-ro.2021.2.46 – reference: BoydDWWongJSWOn nonlinear contractionsProceedings of the American Mathematical Society196920245846423955910.1090/S0002-9939-1969-0239559-9 – reference: LakzianHRakocevicVAydiHExtensions of Kannan contraction via w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distancesAequationes Mathematicae20199312311244403175210.1007/s00010-019-00673-6 – reference: YuanGXFixed Point and Related Theorems for Set-Valued Mappings2001DordrechtSpringer10.1007/978-94-017-1748-9_19 – reference: Górnicki, J. 2020. On some mappings with a unique fixed point. Journal of Fixed Point Theory and Applications 22(8). – reference: SuzukiTA generalized Banach contraction principle that characterizes metric completenessProceedings of the American Mathematical Society200813618611869237361810.1090/S0002-9939-07-09055-7 – reference: KadaOSuzukiTTakahashiWNonconvex minimization theorems and fixed point theorems in complete metric spacesMathematica Japonicae199613815911416281 – reference: MeirAKeelerEA theorem on contraction mappingsJournal of Mathematical Analysis and Applications19692832632925029110.1016/0022-247X(69)90031-6 – reference: Reich, S., and A.J. Zaslavski. 2001. Well-posedness of fixed point problems. Far East. Journal of Mathematical Sciences Part III:393–401. – reference: SubrahmanyamPVElementary Fixed Point Theorems2018SingaporeSpringer10.1007/978-981-13-3158-9 – reference: ChakrabortyPChoudhuryBSLocally weak version of the contraction mapping principleMathematical Notes20211096859866431074310.1134/S0001434621050199 – reference: Karapinar, E., and V.M. L.H. Bindu. 2020. On Pata-Suzuki-type contractions. Mathematics 8(3). – reference: GeraghtyMAOn contractive mappingsProceedings of the American Mathematical Society19734060460833417610.1090/S0002-9939-1973-0334176-5 – reference: LakzianHRhoadesBESome fixed point theorems using weaker Meir-Keeler function in metric spaces with w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distanceApplied Mathematics and Computation20193421825386410810.1016/j.amc.2018.06.048 – reference: KarapinarEFulgaAAydiHStudy on Pata E-contractionsAdvances in Difference Equations2020120204157719 – reference: EdelsteinMAn extension of Banach’s contraction principleProceedings of the American Mathematical Society1961121710120625 – reference: PataVA fixed point theorem in metric spacesJournal of Fixed Point Theory and Applications201110299305286156210.1007/s11784-011-0060-1 – reference: Alegre Gil, C., E. Karapinar, J. Marín Molina, and P. Tirado Peláez. 2019. Revisiting Bianchini and Grandolfi theorem in the context of modified w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distances. Results in Mathematics 74(4): 1–9. – reference: Choudhury, B.S., and P. Chakraborty. 2022. Fixed point problem of a multi-valued Kannan-Geraghty type contraction via w\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$w$$\end{document}-distance. The Journal of Analysis 31: 439–458. – reference: KhamsiMAKirkWAAn Introduction to Metric Spaces and Fixed Point Theory2011New YorkWiley – reference: Alqahtani, O., V.M. Himabindu, and E. Karapinar. 2019. On Pata-Suzuki-type contractions. Mathematics 7(8). – reference: KarapinarEFulgaARakocevicVA discussion on a Pata type contraction via iterate at a pointFilomat202034410611066420547010.2298/FIL2004061K – reference: BanachSSur les opérations dans les ensembles abstraits et leurs applications aux équations intégralesFund Math.19223133181394989810.4064/fm-3-1-133-181 – reference: BerrahKAlioucheAOusseifTCommon fixed point theorems under Pata’s contraction in complex valued metric spaces and an application to integral equationsBoletin de la Sociedad Matematica Mexicana2020262647656411047310.1007/s40590-019-00248-0 – reference: ChoudhuryBSKadelburgZMetiyaNRadenovicSA survey of fixed point theorems under Pata-type conditionsBulletin of the Malaysian Mathematical Sciences Society20204312891309406142510.1007/s40840-019-00742-8 – reference: BarootkoobSKarapinarELakzianHChandaAExtensions of Meir–Keeler contraction via w-distances with an applicationKragujevac Journal of Mathematics2022464533547446895010.46793/KgJMat2204.533B – reference: ReichSZaslavskiAJGeneric well-posedness of fixed point problemsVietnam Journal of Mathematics201846513374376510.1007/s10013-017-0251-1 – reference: Karapinar, E., A. Fulga, and V. Rakocevic. 2020. A result on a Pata-Ciric type contraction at a point. Mathematics 8(3). – reference: Karapinar, E., and C. Chifu. 2020. Results in wt\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$wt$$\end{document}-distance over b-metric spaces. Mathematics 8(2). – reference: KarapinarERomagueraSTiradoPCharacterizations of quasi-metric and G-metric completeness involving w-distances and fixed pointsDemonstratio Mathematica2022551939951452066910.1515/dema-2022-0177 – reference: Aktay, M., and M. Özdemir. 2021. Some results on generalized Pata-Suzuki type contractive mappings. Journal of Mathematics 2021. – volume: 46 start-page: 533 issue: 4 year: 2022 ident: 612_CR5 publication-title: Kragujevac Journal of Mathematics doi: 10.46793/KgJMat2204.533B – volume-title: Fixed Point and Related Theorems for Set-Valued Mappings year: 2001 ident: 612_CR31 doi: 10.1007/978-94-017-1748-9_19 – volume: 136 start-page: 1861 year: 2008 ident: 612_CR30 publication-title: Proceedings of the American Mathematical Society doi: 10.1090/S0002-9939-07-09055-7 – volume: 26 start-page: 647 issue: 2 year: 2020 ident: 612_CR6 publication-title: Boletin de la Sociedad Matematica Mexicana doi: 10.1007/s40590-019-00248-0 – ident: 612_CR3 doi: 10.3390/math7080720 – volume: 109 start-page: 859 issue: 6 year: 2021 ident: 612_CR8 publication-title: Mathematical Notes doi: 10.1134/S0001434621050199 – volume: 22 start-page: 713 issue: 2 year: 2021 ident: 612_CR21 publication-title: Fixed Point Theory doi: 10.24193/fpt-ro.2021.2.46 – volume: 93 start-page: 1231 year: 2019 ident: 612_CR23 publication-title: Aequationes Mathematicae doi: 10.1007/s00010-019-00673-6 – volume: 342 start-page: 18 year: 2019 ident: 612_CR24 publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2018.06.048 – volume: 34 start-page: 1061 issue: 4 year: 2020 ident: 612_CR20 publication-title: Filomat doi: 10.2298/FIL2004061K – volume: 20 start-page: 458 issue: 2 year: 1969 ident: 612_CR7 publication-title: Proceedings of the American Mathematical Society doi: 10.1090/S0002-9939-1969-0239559-9 – ident: 612_CR27 – ident: 612_CR2 doi: 10.1007/s00025-019-1074-z – ident: 612_CR9 doi: 10.1007/s41478-022-00457-3 – ident: 612_CR18 doi: 10.3390/math8030393 – volume: 46 start-page: 5 year: 2018 ident: 612_CR28 publication-title: Vietnam Journal of Mathematics doi: 10.1007/s10013-017-0251-1 – volume-title: Elementary Fixed Point Theorems year: 2018 ident: 612_CR29 doi: 10.1007/978-981-13-3158-9 – volume: 28 start-page: 326 year: 1969 ident: 612_CR25 publication-title: Journal of Mathematical Analysis and Applications doi: 10.1016/0022-247X(69)90031-6 – volume-title: An Introduction to Metric Spaces and Fixed Point Theory year: 2011 ident: 612_CR22 – ident: 612_CR13 doi: 10.1007/s11784-019-0741-8 – volume: 1 start-page: 2020 year: 2020 ident: 612_CR17 publication-title: Advances in Difference Equations – volume: 12 start-page: 7 issue: 1 year: 1961 ident: 612_CR11 publication-title: Proceedings of the American Mathematical Society – volume: 55 start-page: 939 issue: 1 year: 2022 ident: 612_CR19 publication-title: Demonstratio Mathematica doi: 10.1515/dema-2022-0177 – volume: 3 start-page: 133 year: 1922 ident: 612_CR4 publication-title: Fund Math. doi: 10.4064/fm-3-1-133-181 – volume: 40 start-page: 604 year: 1973 ident: 612_CR12 publication-title: Proceedings of the American Mathematical Society doi: 10.1090/S0002-9939-1973-0334176-5 – ident: 612_CR16 doi: 10.3390/math8020220 – ident: 612_CR15 doi: 10.3390/math8030389 – volume: 1 start-page: 381 year: 1996 ident: 612_CR14 publication-title: Mathematica Japonicae – ident: 612_CR1 doi: 10.1155/2021/2975339 – volume: 43 start-page: 1289 year: 2020 ident: 612_CR10 publication-title: Bulletin of the Malaysian Mathematical Sciences Society doi: 10.1007/s40840-019-00742-8 – volume: 10 start-page: 299 year: 2011 ident: 612_CR26 publication-title: Journal of Fixed Point Theory and Applications doi: 10.1007/s11784-011-0060-1 |
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| Title | Investigation of a fixed point problem for Pata-type contractions with respect to w-distance |
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