New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces

Mahmoud Rawashdeh and Sarah Khalil

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

Let be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for in . In this paper, we study the problem of -simultaneous approximation for a vector subspace in . Some other results regarding -simultaneous approximation in quotient space are presented.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:978738

DOI: 10.1155/2013/978738

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