On Fixed Point Theorems in Some Types of Spaces

Abdullah, Alaa; Abd, Salwa

ISBN 10: 3659255718 / ISBN 13: 9783659255717

Published by VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014

About this Item

Print on Demand pp. 100 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam.

Seller Inventory # 353413367

Bibliographic Details

• Title: On Fixed Point Theorems in Some Types of Spaces
• Publisher: VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG
• Publication Date: 2014
• Language: English
• ISBN 10: 3659255718
• ISBN 13: 9783659255717
• Binding: Soft cover
• Condition: New

About this title

Synopsis

In this booked point theorems are proved for independent types of contraction mappings; and, also give a generalization of these cases by Ciric’s contraction mapping is given. All these results are proved in complete, orbitally complete or chainable orbitally complete G-metric space in two states goloblly or locally. Secondly, the concepts of compatible, semi-compatible or weakly commuting are applied to prove common fixed point theorems for two mappings. Also other results are formulated without any commuting condition to get common fixed points for two or more than two mappings. Finally, the new concept of ωG-distance are presented in this book and used to introduce some important results in G-metric space, such as fixed point theorems, non-convex minimization theorem, ε-variational principle, generalization of Carsiti’s theorem and infinite fixed points Carsiti’s theorem.

About the Author

Alaa Abdullah has obtained her BSc from mathematical department in 2002 and MSc in 2012 from Baghdad University,She works at College of science\ Al-Mustansiriya University. Dr. Salwa S. Abd PhD. in EducationCollege Ibn Al-Haitham, Mathematics Department.