On Fixed Point Theorems in Some Types of Spaces

Alaa Abdullah

ISBN 10: 3659255718 / ISBN 13: 9783659255717

Published by LAP LAMBERT Academic Publishing, 2014

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - 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 G-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, -variational principle, generalization of Carsiti s theorem and infinite fixed points Carsiti s theorem.

Seller Inventory # 9783659255717

Bibliographic Details

• Title: On Fixed Point Theorems in Some Types of Spaces
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2014
• Language: English
• ISBN 10: 3659255718
• ISBN 13: 9783659255717
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 6D millimeters 220 millimeters width by 150 millimeters height by 6 millimeters depth
• Weight: 167 grams

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.