TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

Powered by:Powered by

Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Article

Some coincidence point results in the product space for solutions of the fuzzy of ordinary differential equations and integral equations systems

, * , ,

* Corresponding author · click or hover a name for details

pp. 55–88Vol. 16Issue 1January 2018DOI: 10.1080/1726037X.2017.1417725XML
Received:
20 Dec 2016
Accepted:
09 Aug 2017
Published Online:
12 Jun 2018
Article type:
Article
Language:
EN
Article no.:
1726037X.2017.1417725
Pages:
55–88

Abstract

In this work, we will introduce the new classes of product spaces and also establish the existence of coincidence points in quasi-ordered fuzzy metric spaces. In order to investigate the integral equations and ordinary differential equations is solutions of the systems. Also study the property of mixed-monotone and comparable property of quasi-ordered fuzzy metric spaces in the product space. Our theorems improve and cover the corresponding recent results announced by Wu (2014) and Roldan et al. (2014).

Keywords

Subject Classifications

47H0947H10

References

  1. BS.Choudhury, A.Kundu, A coupled coincidence point result in partially ordered metric spaces for compatible mappings , Nonlinear Anal . 73 , 2524 – 2531 ( 2010 )
  2. A.Latif, I.Tweddle, Some results on coincidence points , Bull. Aust. Math. Soc . 59 , 111 – 117 ( 1999 )
  3. E.Tarafdar, PJ.Watson, A coincidence point theorem and related results , Appl. Math . 11 , 37 – 40 ( 1998 )
  4. M.Vth, Coincidence points of function pairs based on compactness properties , Glasg. Math. J . 44 , 209 – 230 ( 2002 )
  5. H.C.Wu, Coincidence point and common fixed point theorems in the product spaces of complete for mixed-monotonically quasi-ordered metric spaces and their applications to the systems of integral equations and ordinary differential equationss , Journal of Inequalities and Applications , 2014 : 518 ( 2014 )
  6. I.Kramosil, J.Michalek, Fuzzy metric and statistical metric spaces , Kyber-netica 11 ( 1975 ) 326 – 334 .
  7. A.George, P.Veeramani, On some results in fuzzy metric spaces , Fuzzy Sets and Systems 64 , 395 – 399 ( 1994 ).
  8. B.Schweizer, A.Sklar, Statistical metric spaces , Pac J Math . 10 ( 1960 ) 313 – 334 .
  9. M.Grabiec, Fixed points in fuzzy metric spaces , Fuzzy Sets and Systems 27 ( 1983 ) 385 – 389 .
  10. V.Gregori and S.Romaguera, Some properties of fuzzy metric spaces , Fuzzy Sets and Systems 115 ( 2000 ), 485 – 489 .
  11. J.Rodríguez-López, S.Romaguera, The Hausdorff fuzzy metric on compact sets , Fuzzy Sets and Systems 147 , 273 – 283 ( 2004 ).
  12. S.Phiangsungnoen, W.Sintunavarat, P.Kumam, Fuzzy fixed point theorems in Hausdorff fuzzy metric spaces , Journal of Inequalities and Applications , 201 ( 2014 ).
  13. D.Mihet, Fixed point theorems in fuzzy metric spaces using property (E.A) , Nonlinear Anal . 73 ( 7 ), 2184 – 2188 ( 2010 ).
  14. V.Gregori, S.Morillas, A.Sapena, Examples of fuzzy metrics and applications , Fuzzy Sets and Systems 170 , 95 – 111 ( 2011 ).
  15. A.Roldán, J.Martínez-Moreno, C.Roldán, Y.J.Cho, Multidimensional coincidence point re- sults for compatible mappings in partially ordered fuzzy metric spaces , Fuzzy Sets and Systems 251 , 71 – 82 ( 2014 ).
  16. C.Khaofong, P.Thounthong and P.Kumam, Coincidence point theorems of multidimensional for φ-weak contraction in fuzzy metric spaces , Advances and Applications in Mathematical Sciences , Volume 16 , ( 2016 ), 35 – 49 .
Views: 45Downloads: 69Citations: 0