Topics in Fixed Point Theory

Beschreibung

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.
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.
Compiles new research in fixed point theory in one book Introduces topics in an introductory manner Covers most aspects of fixed point theory and its applications Includes supplementary material: sn.pub/extras

Autor*in

Saleh Almezel

Themen in »Topics in Fixed Point Theory«

Banach contraction theorem Ekeland variational principle Ky Fan and Kakutani theorems Lefschetz and Nielsen theories fixed point theory hyperconvex metric spaces iterative methods modular function spaces

Stimmen zu »Topics in Fixed Point Theory«

From the book reviews:

“The book under review is the next presentation of main subjects in the theory. … The book has a good chance to be used as one more source of information for newcomers to the theory, students and researchers.” (K. Goebel, Mathematical Reviews, February, 2015)

Details

Link teilen