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.
@article{107797, author = {Naseer Shahzad and Tayyab Kamran}, title = {Coincidence points and $R$-weakly commuting maps}, journal = {Archivum Mathematicum}, volume = {037}, year = {2001}, pages = {179-183}, zbl = {1090.54040}, mrnumber = {1860182}, language = {en}, url = {http://dml.mathdoc.fr/item/107797} }
Shahzad, Naseer; Kamran, Tayyab. Coincidence points and $R$-weakly commuting maps. Archivum Mathematicum, Tome 037 (2001) pp. 179-183. http://gdmltest.u-ga.fr/item/107797/
Fixed points of asymptotically regular multivalued mappings, J. Austral. Math. Soc. Ser. A 53 (1992), 313–326. | MR 1187851
Coincidence theorems for nonlinear hybrid contractions, Internat. J. Math. Math. Sci. 20(2) (1997), 249–256. | MR 1444724
A coincidence theorem for multivalued mappings in metric spaces, Studia Univ. Babeş-Bolyai Math. XXVI(3) (1981), 65–67. | MR 0681096 | Zbl 0506.54041
Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (4) (1986), 771–779. | MR 0870534 | Zbl 0802.47053
Single-valued and multi-valued $f$-contractions, Boll. Un. Mat. Ital. Ser. A 4 (1985), 29–33. | MR 0781791 | Zbl 0568.54031
Fixed point theorems for compatible multivalued and single valued mappings, Internat. J. Math. Math. Sci. 12(2) (1989), 257–262. | MR 0994907
Multivalued contraction mappings, Pacific J. Math. 20 (1969), 475–488. | MR 0254828
Common fixed points of noncommuting mapping, J. Math. Anal. Appl. 188 (1994), 436–440. | MR 1305460
A coincidence theorem for contactive type multivalued mappings, J. Egyptian Math. Soc. 5 (1) (1997), 47–55. | MR 1488206