Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Preliminaries Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

7. Fixed Point Theorems in Partially Ordered Fuzzy Metric Spaces

verfasst von : Yeol Je Cho, Themistocles M. Rassias, Reza Saadati

Erschienen in: Fuzzy Operator Theory in Mathematical Analysis

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this chapter, we study some fixed point theorems for nonlinear mappings satisfying some contractions in fuzzy partially metric spaces.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Vorheriges Kapitel Generalized Distances and Fixed Point Theorems in Fuzzy Metric Spaces
Nächstes Kapitel Fixed Point Theorems in Fuzzy Normed Spaces
Literatur
22.
V. Berinde, Approximating common fixed points of noncommuting almost contractions in metric spaces. Fixed Point Theory 11, 179–188 (2010)MathSciNetMATH
23.
V. Berinde, M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces. Nonlinear Anal. 74, 4889–4897 (2011)MathSciNetCrossRef
24.
M. Berzig, B. Samet, An extension of coupled fixed point’s concept in higher dimension and applications. Comput. Math. Appl. 63, 1319–1334 (2012)MathSciNetCrossRef
25.
T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65, 1379–1393 (2006)MathSciNetCrossRef
26.
T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65, 1379–1393 (2006)MathSciNetCrossRef
28.
M. Borcut, V. Berinde, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces. Appl. Math. Comput. 218, 5929–5936 (2012)MathSciNetMATH
32.
S.S. Chang, B.S. Lee, Y.J. Cho, Y.Q. Chen, S.M. Kang, J.S. Jung, Generalized contraction mapping principle and differential equations in probabilistic metric spaces. Proc. Am. Math. Soc. 124, 2367–2376 (1996)MathSciNetCrossRef
34.
B.S. Choudhury, N. Metiya, A. Kundu, Coupled coincidence point theorems in ordered metric spaces. Ann. Univ. Ferrara 57, 1–16 (2011)MathSciNetCrossRef
35.
B.S. Choudhury, K. Das, P. Das, Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces. Fuzzy Sets Syst. 222, 84–97 (2013)MathSciNetCrossRef
36.
L. Ćirić, Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces. Nonlinear Anal. 72, 2009–2018 (2010)MathSciNetCrossRef
38.
L. Ćirić, M. Abbas, B. Damjanovic, R. Saadati, Common fuzzy fixed point theorems in ordered metric spaces. Math. Comput. Model. 53, 1737–1741 (2011)MathSciNetCrossRef
41.
C. Di Bari, C. Vetro, Fixed points, attractors and weak fuzzy contractive mappings in a fuzzy metric space. J. Fuzzy Math. 13, 973–982 (2005)MathSciNetMATH
50.
J.X. Fang, Y. Gao, Common fixed point theorems under strict contractive conditions in Menger spaces. Nonlinear Anal. 70, 184–193 (2009)MathSciNetCrossRef
52.
62.
V. Gregori, A. Sapena, On fixed point theorems in fuzzy metric spaces. Fuzzy Sets Syst. 125, 245–252 (2002)CrossRef
64.
D. Guo, V. Lakshmikantham, Coupled fixed points of nonlinear operators with applications. Nonlinear Anal. 11, 623–632 (1987)MathSciNetCrossRef
66.
O. Hadžić, E. Pap, Fixed Point Theory in PM-Spaces (Kluwer Academic Publishers, Dordrecht, 2001)CrossRef
76.
X.Q. Hu, Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces. Fixed Point Theory Appl. 2011(8), Article ID 363716 (2011)
77.
N.M. Hung, E. Karapınar, N.V. Luong, Coupled coincidence point theorem in partially ordered metric spaces via implicit relation. Abstr. Appl. Anal. 2012, Article ID 796964 (2012)MathSciNetCrossRef
78.
N. Hussain, Common fixed points in best approximation for Banach operator pairs with Ćirić Type I-contractions. J. Math. Anal. Appl. 338, 1351–1363 (2008)MathSciNetCrossRef
80.
87.
91.
E. Karapınar, N.V. Luong, Quadruple fixed point theorems for nonlinear contractions. Comput. Math. Appl. 64, 1839–1848 (2012)MathSciNetCrossRef
99.
100.
V. Lakshmikantham, L. Ćirić, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. 70, 4341–4349 (2009)MathSciNetCrossRef
101.
A. Latif, I. Beg, Geometric fixed points for single and multivalued mappings. Demonstratio Math. 30, 791–800 (1997)MathSciNetMATH
102.
Z.Q. Liu, Z.N. Guo, S.M. Kang, B.S. Lee, On Ćirić type mappings with nonunique fixed and periodic points. Int. J. Pure Appl. Math. 26, 399–408 (2006)MathSciNetMATH
106.
D. Miheţ, A generalization of a contraction principle in probabilistic metric spaces (II). Int. J. Math. Math. Sci. 5, 729–736 (2005)MathSciNetCrossRef
108.
109.
115.
D.H. Mushtari, On the linearity of isometric mappings on random normed spaces. Kazan Gos. Univ. Uchen. Zap. 128, 86–90 (1968)MathSciNet
116.
J.J. Nieto, R.R. Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations. Acta Math. Sin. Engl. Ser. 23, 2205–2212 (2007)MathSciNetCrossRef
117.
D. O’Regan, R. Saadati, Nonlinear contraction theorems in probabilistic spaces. Appl. Math. Comput. 195, 86–93 (2008)MathSciNetMATH
121.
124.
A.C.M. Ran, M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Am. Math. Soc. 132, 1435–1443 (2004)MathSciNetCrossRef
127.
J. Rodríguez-López, S. Romaguera, The Hausdorff fuzzy metric on compact sets. Fuzzy Sets Syst. 147, 273–283 (2004)MathSciNetCrossRef
128.
A. Roldán, J. Martínez-Moreno, C. Roldán, Multidimensional fixed point theorems in partially ordered complete metric spaces. J. Math. Anal. Appl. 396, 536–545 (2012)MathSciNetCrossRef
129.
A. Roldán, J. Martínez-Moreno, C. Roldán, Y.J. Cho, Multidimensional coincidence point results for compatible mappings in partially ordered fuzzy metric spaces. Fuzzy Sets Syst. 251, 71–82 (2014)MathSciNetCrossRef
130.
S. Romaguera, A. Sapena, P. Tirado, The Banach fixed point theorem in fuzzy quasi-metric spaces with application to the domain of words. Topol. Appl. 154, 2196–2203 (2007)MathSciNetCrossRef
136.
S. Sedghi, N. Shobe, Fixed point theorem in \(\mathcal {M}\)-fuzzy metric spaces with property(E). Adv. Fuzzy Math. 1, 55–65 (2006)
137.
S. Sedghi, K.P.R. Rao, N. Shobe, Common fixed point theorems for six weakly compatible mappings in D∗-metric spaces. Int. J. Math. Sci. 6, 225–237 (2007)MathSciNetMATH
138.
S. Sedghi, K.P.R. Rao, N. Shobe, A common fixed point theorem for six weakly compatible mappings in \(\mathcal {M}\)-fuzzy metric spaces. Iran. J. Fuzzy Systs. 5, 49–62 (2008)
139.
V.M. Sehgal, A.T. Bharucha-Reid, Fixed points of contraction mappings on probabilistic metric spaces. Math. Syst. Theory 6, 97–102 (1972)MathSciNetCrossRef
140.
S. Shakeri, L. Ćirić, R. Saadati, Common fixed point theorem in partially ordered L-fuzzy metric spaces. Fixed Point Theory Appl. 2010, Article ID 125082 (2010)MathSciNetCrossRef
143.
S.L. Singh, S.N. Mishra, On a Ljubomir Ćirić’s fixed point theorem for nonexpansive type maps with applications. Indian J. Pure Appl. Math. 33, 531–542 (2002)MathSciNetMATH
145.
P. Tirado, Contraction mappings in fuzzy quasi-metric spaces and [0,  1]-fuzzy posets, in VII Iberoamerican Conference on Topology and Its Applications, Valencia, Spain (2008), pp. 25–28
150.
X.H. Zhu, J.Z. Xiao, Note on coupled fixed point theorems for contractions in fuzzy metric spaces. Nonlinear Anal. 74, 5475–5479 (2011)MathSciNetCrossRef
154.
T. Žikić-Došenović, Fixed point theorems for contractive mappings in Menger probabilistic metric spaces, in Proceedings of IPMU’08, 22–27 June 2008, pp. 1497–1504
Metadaten
Titel
Fixed Point Theorems in Partially Ordered Fuzzy Metric Spaces
verfasst von
Yeol Je Cho
Themistocles M. Rassias
Reza Saadati
Copyright-Jahr
2018
Buch
Fuzzy Operator Theory in Mathematical Analysis

Print ISBN: 978-3-319-93499-0

Electronic ISBN: 978-3-319-93501-0

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-93501-0_7