Coincidence points and invariant approximation results on q-normed spaces
Author(s) -
Hemant Kumar Nashine
Publication year - 2007
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil0702045n
Subject(s) - mathematics , coincidence , normed vector space , regular polygon , invariant (physics) , domain (mathematical analysis) , coincidence point , space (punctuation) , pure mathematics , discrete mathematics , mathematical analysis , geometry , mathematical physics , computer science , fixed point theorem , medicine , alternative medicine , pathology , operating system
We present coincidence points results for multivalued f- nonexpan- sive mappings in the setting of nonstarshaped domain of q-normed space which is not necessarily a locally convex space. As application, an invariant approximation result is also obtained. Our results improve and extend the results of Bano, Khan and Latif (1), Hussain (4), Latif and Tweddle (7), Rhoades (11), Sahab, Khan and Sessa (13), Shahzad (14) and Singh (15) in the setting of nonstarshaped domain.
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