Год выпуска: 2013 Автор: Shimaa Ibrahim Moustafa,Nassar H. Abdel-All and Rashwan A. Rashwan Издательство: LAP Lambert Academic Publishing Страниц: 104 ISBN: 9783659307140
Описание
In this research, we continue to study some common fixed point theorems in the setting of probabilistic metric spaces under various generalized contraction conditions. At the beginning of our research we study some basic definitions and results used throughout the research work. We begin our results by giving a comment on some known result of Sharma and Deshpande and we give an example to justify our claim. Also, we prove a common fixed point theorem for two pairs of weakly compatible mappings in Menger spaces without appeal to continuity condition. We obtain a common fixed point theorem for three pairs of weakly compatible mappings in Menger spaces with applying the common property (E. A). Then, common fixed point theorems for family of occasionally weakly compatible self mappings in Menger and D-Menger spaces are obtained. Furthermore, some new fixed point theorems in 2-Menger spaces considering two distribution functions and using new contraction conditions are obtained. Moreover,...
