Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible mappings.
@article{107730, author = {Naseer Shahzad and Salma Sahar}, title = {Some common fixed point theorems for biased mappings}, journal = {Archivum Mathematicum}, volume = {036}, year = {2000}, pages = {183-194}, zbl = {1048.47044}, mrnumber = {1785035}, language = {en}, url = {http://dml.mathdoc.fr/item/107730} }
Shahzad, Naseer; Sahar, Salma. Some common fixed point theorems for biased mappings. Archivum Mathematicum, Tome 036 (2000) pp. 183-194. http://gdmltest.u-ga.fr/item/107730/
Fixed point theorems for compatible multivalued and single valued mappings, Internat. J. Math. and Math. Sci. 12 (1989), 257–269. | MR 0994907
Compatible mappings and common fixed points, Internat. J. Math. and Math. Sci. 9 (1989), 771–779. | MR 0870534 | Zbl 0802.47053
Common fixed points of commuting and compatible maps on compacta, Proc. Amer. Math. Soc. 103 (1988), 977–983. | MR 0947693
Compatible mappings of type $(A)$ and common fixed points, Math. Japonica 38(2) (1993), 381–390. | MR 1213401
Fixed points via “biased maps", Proc. Amer. Math. Soc. 123 (1995), 2049–2060. | MR 1283555
A common fixed point theorem for compatible mappings on normed vector space, Arch. Math.(Brno) 33 (1997), 245–251. | MR 1478775
Gregus type common fixed point theorems for compatible mappings of type $(T)$ and variational inequalities, Publ. Math. Debrecen 46 (1995), 285–299. | MR 1336369
Compatible mappings of type $(B)$ and common fixed point theorems of Gregus type, Czechoslovak Math. J. 45(120) (1995), 685–698. | MR 1354926