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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
Fixed Points of Nonlinear Operators
Introduction to Nonlinear Analysis and Fixed Point Theory
Theory and Applications of Iteration Methods
Nonlinear Differential Equations in Ordered Spaces
Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
Basic Monotonicity Methods with Some Applications
Approximate Fixed Points of Nonexpansive Mappings
Degree Theory for Discontinuous Operators
Iterative Methods and Their Dynamics with Applications
Variational and Monotonicity Methods in Nonsmooth Analysis
Fixed Point Theory and Graph Theory