6533b860fe1ef96bd12c2f28

RESEARCH PRODUCT

Some Moduli and Constants Related to Metric Fixed Point Theory

Enrique Llorens Fuster

subject

Unit sphereModuli of algebraic curvesPure mathematicsModular equationReal-valued functionMetric (mathematics)Banach spaceFixed-point theoremSpace (mathematics)TopologyMathematics

description

Indeed, there are a lot of quantitative descriptions of geometrical properties of Banach spaces. The most common way for creating these descriptions, is to define a real function (a “modulus” depending on the Banach space under consideration, and from this define a suitable constant or coefficient closely related to this function. The moduli and/or the constants are attempts to get a better understanding about two things: The shape of the unit ball of a space, and The hidden relations between weak and strong convergence of sequences.

https://doi.org/10.1007/978-94-017-1748-9_5