MODERN TOPICS IN METRICAL FIXED POINT THEORY
Turinici Mihai
Gebundenes Buch

MODERN TOPICS IN METRICAL FIXED POINT THEORY

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Metrical Fixed Point Theory, originating from the 1922 Banach Fixed Point Theorem, is one of the most dynamic areas within Operator Equations Theory. This book aims to discuss the foundational aspects of this theory, focusing on questions of existence, uniqueness, and approximation in operator equations - whether explicit or implicit, anticipative or non-anticipative - across standard, ordered, and relational metric spaces. Key themes include implicit methods for analyzing metrical contractions, factorial techniques for reducing coincidence point problems to standard fixed point ones, homotopi...