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A Study of Some Fixed Point Theorems in Probabilistic Metric Spaces: Fixed Point Theorems in Probabilistic Metric Spaces - Softcover

Ibrahim Moustafa, Shimaa; H. Abdel-All, Nassar; A. Rashwan, Rashwan

 
9783659307140: A Study of Some Fixed Point Theorems in Probabilistic Metric Spaces: Fixed Point Theorems in Probabilistic Metric Spaces
Softcover
ISBN 10: 3659307149 ISBN 13: 9783659307140
Verlag: LAP LAMBERT Academic Publishing, 2013

Inhaltsangabe

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, we prove a fixed point theorem for non-self mappings in two 2-Menger spaces. Finally, we prove a common fixed point theorem for six compatible self mappings of type (A) in a complete non-Archimedean Menger space

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Über die Autorin bzw. den Autor

Shimaa Ibrahim Moustafa has got his B. Sc. Mathematics (2008) (Department of Mathematics, Faculty of Science, Assiut University, Egypt). The filed of interests are Mathematical Analysis and Functional Analysis and their applications.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
3659307149
ISBN 13 
9783659307140
Einband
Taschenbuch
Anzahl der Seiten
104
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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