A best proximity pair theorem

• Autorzy: Shahzad N.
• Języki publikacji: EN

Abstrakty

EN

The aim of this notę is to obtain a best proximity pair theorem which contains a recent result of Kirk, Reich and Veeramani (Numer. Funct. Anal. Optim., 24 (2003), 851-862) as a special case.

Słowa kluczowe

EN

best proximity pair; Hilbert space; nearest point projection

PL

przestrzeń Hilberta; twierdzenie o bliskości par

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 4
• Strony: 869--874
• Opis fizyczny: Bibliogr 4 poz.

Twórcy

autor

Shahzad N.

• Department of Mathematics King Abdul Aziz University P. O. Box 80203, Jeddah 21589, Saudi Arabia

Bibliografia

• [1] W. A. Kirk, S. Reich and P. Veeramani, Proximinal retracts and best prommity pair theorems, Numer. Funct. Anal. Optim. 24 (2003), 851-862.
• [2] D. O'Regan and N. Shahzad, Coincidence points and best proximity pair results for R-subweakly commuting multimaps, Demonstratio Math. 39 (2006), 845-854.
• [3] N. Shahzad, Coincidence points and and R-subweakly commuting multwalued mapa, Demonstratio Math. 36 (2003), 427-431.
• [4] S. L. Singh, K. S. Ha and Y. J. Cho, Coincidence and fixed points of nonlinear hybrid contractions, Internat. J. Math. & Math. Sci. 12 (1989), 247-256.