Abstract

Expansion of Zero Accretive Operator in a Closed Graph Mapping

Krishna Kumar Pandey1*, Chitaranjan Khadanga2 and Yogesh Kumar Sahu3

1,2,3 Department of Mathematics, Shri Shankaracharya Technical Campus, Bhilai,490020-INDIA.

ABSTRACT

On considering the application on a closed graph theorem to the solutions of operator equation for Banach Space and and letting be linear mapping ,which is closed and Surjective, then is an open mapping. In this paper we have been established the results in the form: for be a linear space over for subsets , , and such that , then for every , there is a sequence such that + 1 , in zero accretive operator.

Keywords :Accretive operator, Linear mapping, Normed linear space, Banach Space, Metric space.

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