On common fixed points of weakly commuting mappings and set-valued mappings.
Sessa, S., Fisher, B. (1986)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Sessa, S., Fisher, B. (1986)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Hakima Bouhadjera (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.
Sunny Chauhan, B. D. Pant (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.
Cho, Y.J., Murthy, P.P., Jungck, G. (1993)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Cho, Y.J., Fisher, B., Genga, G.S. (1997)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Jungck, G., Rhoades, B.E. (1993)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Imdad, M., Khan, M.S., Sessa, S. (1988)
International Journal of Mathematics and Mathematical Sciences
Similarity:
R. A. Rashwan, Magdy A. Ahmed (2002)
Archivum Mathematicum
Similarity:
This work is considered as a continuation of [19,20,24]. The concepts of -compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a -type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension. ...