The Set-Valued Metric Generalized Inverses and Its Single-Valued Selection of Multi-Valued Linear Operator in Banach Spaces
In this paper,the exact representation of domain,range and expression of the set valued metric generalized inverse from the multi-valued closed linear opera-tors in the inverse Banach spaces are given by means of the Banach spaces geometry method,especially the generalized orthogonal decomposition theorem.At the same time,the construction method and characterization of the single valued homogeneity selection of the metric generalized inverse are given,which makes some rencent related achievements can be deduced directly.
Banach spacemulti-valued linear operatorset-valued metric generalized inversesingle value selection
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