This book introduces and exchanges recent innovative topics on the areas of fixed point theory, convex and set-valued analysis, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.

Contents include: Homotopy Type Results for Non-linear Contractions on Spaces with Two Metrics; A Quadrate Rule for the Finite Hilbert Transformation Via Midpoint Type Inequalities; Extremality and Convergence in Orlicz Space; Ishikawa Iterative Processes with Errors for Non-linear Strongly Accretive Operator Equations; Iterative Schemes for Approximating Solutions of Relations Involving Accretive Operators in Banach Spaces; Compactification and Fixed Point Properties; Some Recent Results on Quadratic Programs and Affine Variational Inequality Problems Under Linear Perturbations; Convergence Theorems an Stability of the Ishikawa Iteration Procedures with Errors for Strong Pseudocontractions and Non-linear Equations Involving Accretive Operators; Fixed Point Theorems for k-Lipschitzian and Firmly k-Lipschitzian 2-Rotative Maps; Basic Theorems on Multimaps of the KKM, Browder and Kakutani Types; Comments on Some Iteration Processes with Errors; A New System of Generalised Non-linear Mixed inclusions in Hilbert Spaces; On a Problem of B. Ricceri on Variational Inequalities.

Fixed Point Theory & Applications Volume II

The aim of this volume is to introduce and exchange recent new topics on the areas of inequality theory and their applications dealing in pure and applied mathematics.

Inequality Theory & Applications