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Providing the theoretical framework to model phenomena with discontinuous changes, this unique reference presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations and applies this method to derive suitable fixed point theorems in ordered abstract spaces.
Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations
Nonlinear Differential Equations in Ordered Spaces
Fixed Points of Nonlinear Operators
Theory and Applications of Iteration Methods
Introduction to Nonlinear Analysis and Fixed Point Theory
Basic Monotonicity Methods with Some Applications
Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
Approximate Fixed Points of Nonexpansive Mappings
Iterative Methods and Their Dynamics with Applications
Degree Theory for Discontinuous Operators
Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach
Variational and Monotonicity Methods in Nonsmooth Analysis
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