Open AccessCommon fixed point and best approximation for Banach operator pairs in non-starshaped domain
Author(s) -
Hemant Kumar Nashine
Publication year - 2009
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0195
Subject(s) - mathematics , banach space , domain (mathematical analysis) , operator (biology) , metric (unit) , pure mathematics , discrete mathematics , point (geometry) , compact operator , metric space , normed vector space , approximation property , mathematical analysis , computer science , biochemistry , chemistry , operations management , geometry , repressor , transcription factor , economics , extension (predicate logic) , gene , programming language
Common fixed point results for Banach operator pair with generalized nonexpansive mappings in non-starshaped domain of metric space have been obtained in the present work. As application, more general best approximation results in normed space have also been determined. These results extend and generalize various existing known results with the aid of Banach operator pair and without starshaped condition of domain.