Titlebook: Metric Modular Spaces; Vyacheslav Chistyakov Book 2015 Springer International Publishing Switzerland 2015 convex modular.metric semigroup.

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2191-8198 rtant applications to set-valued analysis?.Includes suppleme.Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be

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Book 2015s a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable

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Vyacheslav ChistyakovPresents an easy and unified way to generate different metrics.Contains new existence results in nonlinear functional analysis.Includes important applications to set-valued analysis?.Includes suppleme

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Metrics on Modular Spaces,In this chapter, we address the metrizability of modular spaces.

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Modular Transforms,In this chapter, we study variants of modular axioms and transformations of modulars, which preserve the modularity property. It is shown that these transforms are more flexible than the metric transforms.

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Topologies on Modular Spaces,In this chapter, we introduce, study and compare two kinds of convergences and topologies, induced by a pseudomodular on a set—metric and modular.