### Metric Spaces: Iteration and Application

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Both authors read and approved the final manuscript. Authors would like to thank the referees for their suggestions. Thokchom Chhatrajit, Email: moc. Yumnam Rohen, Email: moc.

National Center for Biotechnology Information , U. Published online Mar 5.

Thokchom Chhatrajit and Yumnam Rohen. Author information Article notes Copyright and License information Disclaimer. Corresponding author. Received Jan 8; Accepted Feb Abstract We prove the existence and uniqueness of fixed points of T-stability for an iteration on partial cone metric space of Zamfirescu contraction. Keywords: Partial cone, T-stable, Fixed point theorem, Picard iteration.

Background In the year , Rhoades showed that the iterative scheme converges to a fixed point of a self-mapping f for a particular space X. Definition 1 Huang and Zhang Let X be a nonempty set. Definition 4 Sonmez Let X , p be a partial cone metric space.

## Metric Spaces: Interaction and Application

Definition 5 Sonmez Let X , p be a partial cone metric space. Definition 6 Sonmez A partial cone metric space X , p is said to be complete if and only if every Cauchy sequence in X is convergent. Main results In this section we establish iteration procedure in partial cone metric spaces. Theorem 12 Let X, p be a complete partial cone metric space.

Theorem 13 Let X, p be a complete partial cone metric space. Theorem 14 Let X, p be a complete partial cone metric space. Acknowledgements Authors would like to thank the referees for their suggestions. Competing interests The authors declare that they have no competing interests. Contributor Information Thokchom Chhatrajit, Email: moc. Fixed Point Theory Appl.

## Metric spaces : iteration and application / Victor Bryant. - Version details - Trove

Fixed point theorems. CR Acad Bulg Sci. Best proximity point iteration for nonexpensive mapping in Banach spaces. J Nonlinear Sci Appl. Cone metric spaces and fixed point theorems of contractive mapping. J Math Anal Appl. S -iteration scheme and polynomiography. Some results on fixed points. Bull Calcutta Math Soc. Fixed points of local strickly pseudo contarctive mappings using Mann and Ishikawa iteration with errors. Indian J Pure Appl Math. Modified Noor iterations with errors for nonlinear equations in Banach spaces.

Some stability results for two hybrid fixed point iterative algorithm of Kirk—Ishikawa and Kirk—Mann type. J Adv Math Stud. Fixed point iteration using infinite matices. Trans Am Math Soc. Fixed point theorems and stability results for fixed point iteration procedures. Research expository and survey article; some fixed point iteration procedures. Int J Math Math Sci. The equivalence between the T-stablilities of Mann and Ishikawa iteration.

### Iterative approximation of fixed points of Prešić operators on partial metric spaces

Some remarks on D-quasi contraction on cone symmetric space. Int J Math Arch. Triple fixed points theorems on cone Banach space. J Glob Res Math Arch. Semi-compatible mappings and fixed point theorems in cone metric space. A comparative study of relationship among various types of spaces. Int J Appl Math. Strong covergence of Halpern-type iteration algorithm for fixed point problems in Banach spaces. Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book.

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Here is an introductory text on metric spaces that is the first to be written for students who are as interested in the applications as in the theory. Knowledge of metric spaces is fundamental to understanding numerical methods for example for solving differential equations as well as analysis, yet most books at this level emphasise just the abstraction and theory. Dr Br Here is an introductory text on metric spaces that is the first to be written for students who are as interested in the applications as in the theory. Dr Bryant uses applications to provide motivation and to sustain the development and discusses numerical procedures where appropriate.

The reader is expected to have had some exposure to elementary analysis, but the author provides examples throughout to refresh the student's memory and to test and extend understanding. In short, this is an introductory textbook that will appeal to students of mathematics and engineering and will give them the required background for more advanced courses in both analysis and numerical analysis. Get A Copy. Paperback , pages.

Published February 5th by Cambridge University Press. More Details Original Title. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Metric Spaces , please sign up. Lists with This Book. This book is not yet featured on Listopia. Community Reviews.

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https://agendapop.cl/wp-content/kegunaan/pinak-como-rastrear.php Jun 08, Anthony James rated it liked it Shelves: stem , resume. A fast read but then I skipped most of the exercises. I liked the approach of showing the application of areas that are usually just left as pure in undergraduate courses. Natasha Borromeo rated it liked it Dec 06,