Saleh Almezel & Qamrul Hasan Ansari 
Topics in Fixed Point Theory [PDF ebook] 

Ủng hộ

The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modular function spaces, fixed point theory in ordered sets, topological fixed point theory for set-valued maps, coincidence theorems, Lefschetz and Nielsen theories, systems of nonlinear inequalities, iterative methods for fixed point problems, and the Ekeland’s variational principle.

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Mục lục

​1 Introduction to Metric Fixed Point Theory. M.A. Khamsi.- 2 Banach Contraction Principle and its Generalizations. Abdul Latif.- 3 Ekeland’s Variational Principle and Its Extensions with Applications. ​Qamrul Hasan Ansari.- 4 Fixed Point Theory in Hyperconvex Metric Spaces. Rafael Espínola and Aurora Fernández-León.- 5 An Introduction to Fixed Point Theory in Modular Function Spaces. W. M. Kozlowski.- 6 Fixed Point Theory in Ordered Sets from the Metric Point of View. M. Z. Abu-Sbeih and M. A. Khamsi.- 7 Some Fundamental Topological Fixed Point Theorems for Set-Valued Maps. Hichem Ben-El-Mechaiekh.- 8 Some Iterative Methods for Fixed Point Problems. Q. H. Ansari and D. R. Sahu.- Index.

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Ngôn ngữ Anh ● định dạng PDF ● Trang 304 ● ISBN 9783319015866 ● Kích thước tập tin 2.3 MB ● Biên tập viên Saleh Almezel & Qamrul Hasan Ansari ● Nhà xuất bản Springer International Publishing ● Thành phố Cham ● Quốc gia CH ● Được phát hành 2013 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 2831558 ● Sao chép bảo vệ DRM xã hội

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