Coincidence points and R -weakly commuting maps

Naseer Shahzad; Tayyab Kamran

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 3, page 179-183
  • ISSN: 0044-8753

Abstract

top
In this paper we extend the concept of R -weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of R -weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.

How to cite

top

Shahzad, Naseer, and Kamran, Tayyab. "Coincidence points and $R$-weakly commuting maps." Archivum Mathematicum 037.3 (2001): 179-183. <http://eudml.org/doc/248732>.

@article{Shahzad2001,
abstract = {In this paper we extend the concept of $R$-weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of $R$-weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.},
author = {Shahzad, Naseer, Kamran, Tayyab},
journal = {Archivum Mathematicum},
keywords = {metric space; multivalued mapping; coincidence point; $R$-weakly commuting map; metric space; multivalued mapping; coincidence point; -weakly commuting map},
language = {eng},
number = {3},
pages = {179-183},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Coincidence points and $R$-weakly commuting maps},
url = {http://eudml.org/doc/248732},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Shahzad, Naseer
AU - Kamran, Tayyab
TI - Coincidence points and $R$-weakly commuting maps
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 3
SP - 179
EP - 183
AB - In this paper we extend the concept of $R$-weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of $R$-weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.
LA - eng
KW - metric space; multivalued mapping; coincidence point; $R$-weakly commuting map; metric space; multivalued mapping; coincidence point; -weakly commuting map
UR - http://eudml.org/doc/248732
ER -

References

top
  1. Fixed points of asymptotically regular multivalued mappings, J. Austral. Math. Soc. Ser. A 53 (1992), 313–326. MR1187851
  2. Coincidence theorems for nonlinear hybrid contractions, Internat. J. Math. Math. Sci. 20(2) (1997), 249–256. MR1444724
  3. A coincidence theorem for multivalued mappings in metric spaces, Studia Univ. Babeş-Bolyai Math. XXVI(3) (1981), 65–67. Zbl0506.54041MR0681096
  4. Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (4) (1986), 771–779. Zbl0802.47053MR0870534
  5. Single-valued and multi-valued f -contractions, Boll. Un. Mat. Ital. Ser. A 4 (1985), 29–33. Zbl0568.54031MR0781791
  6. Fixed point theorems for compatible multivalued and single valued mappings, Internat. J. Math. Math. Sci. 12(2) (1989), 257–262. MR0994907
  7. Multivalued contraction mappings, Pacific J. Math. 20 (1969), 475–488. MR0254828
  8. Common fixed points of noncommuting mapping, J. Math. Anal. Appl. 188 (1994), 436–440. MR1305460
  9. A coincidence theorem for contactive type multivalued mappings, J. Egyptian Math. Soc. 5 (1) (1997), 47–55. MR1488206

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.