Real Analysis Exchange

On the Convergence of Generalized Continuous Multivalued Mappings

D. K. Ganguly and Piyali Mallick

Source: Real Anal. Exchange Volume 34, Number 2 (2008), 541-548.

Abstract

The main results presented in this paper concern generalized continuous multivalued mappings. An attempt has been made to formulate sufficient conditions under which convergence of nets of multivalued mappings preserves generalized continuity.

Primary Subjects: 26A15
Secondary Subjects: 54C08
Keywords: $\mathcalE$-continuity; upper and lower strong convergence; topological convergence

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