Fixed Points of Semigroups of Pointwise Lipschitzian Operators

Free Download Fixed Points of Semigroups of Pointwise Lipschitzian Operators: A Nonexpansive and Asymptotic Approach
English | 2026 | ISBN: 3032088682 | 145 Pages | PDF EPUB (True) | 7 MB
This book provides an overview of recent advances in fixed-point theory for pointwise Lipschitzian semigroups of nonlinear operators, with emphasis on the asymptotic approach. It consolidates otherwise fragmented, inconsistent, and incomplete, publications surrounding the foundations of the theory of common fixed points for semigroups of nonlinear, pointwise Lipschitzian mappings acting in Banach spaces, with some pointers to the parallel results in other settings, including metric and modular spaces. The main focus of the proposed book will be on the following aspects: (1) existence results, (2) construction algorithms convergence in the strong and the weak topology, (3) stability of such algorithms, (4) applications to differential equations, dynamical systems and stochastic processes.