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http://dx.doi.org/10.7858/eamj.2012.038

COMMON FIXED POINT THEOREM AND INVARIANT APPROXIMATION IN COMPLETE LINEAR METRIC SPACES  

Nashine, Hemant Kumar (Department of Mathematics, Disha Institute of Management and Technology)
Publication Information
East Asian mathematical journal / v.28, no.5, 2012 , pp. 533-541 More about this Journal
Abstract
A common fixed point result of Gregus type for subcompatible mappings defined on a complete linear metric space is obtained. The considered underlying space is generalized from Banach space to complete linear metric spaces, which include Banach space and complete metrizable locally convex spaces. Invariant approximation results have also been determined as its application.
Keywords
Best approximation; invariant approximation; weakly compatible maps; subcompatible maps; complete linear metric spaces;
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