IJPAM: Volume 76, No. 2 (2012)
POSSIBILITY OF A FIXED POINT MAPPING
Department of International Development Engineering
Tokyo Institute of Technology
2-12-1, Ookayama, Meguro-ku, Tokyo, 152-8550, JAPAN
Abstract. Non-uniqueness of conformal mapping and possibility of a fixed point mapping is shown by concrete families of univalent analytic mapping functions with three real parameters, as long as univalent conformal mapping to a specified region from a semi-infinite region is given.
Received: January 28, 2012
AMS Subject Classification: 30C20, 30C35
Key Words and Phrases: conformal mapping, non-uniqueness, fixed point
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395