Convergence and existence results for best proximity points

Nonlinear Analysis, Theory, Methods and Applications

Volumn 70, Issue 10, 2009, Pages 3665-3671

  Al Thagafi, M A ^a   Shahzad, Naseer ^a  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

Author keywords

Banach space; Best proximity point; Cyclic contraction map; Fixed point; Metric space

Indexed keywords

BANACH SPACES; SET THEORY; TOPOLOGY;

BEST PROXIMITY POINT; CONTRACTION MAPS; EXISTENCE RESULTS; FIXED POINT; METRIC SPACE; NEW CLASS; REFLEXIVE BANACH SPACES;

SHRINKAGE;

EID: 61749086943     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.07.022     Document Type: Article

References (5)

1. Eldred A.A., and Veeramani P. Existence and convergence of best proximity points. J. Math. Anal. Appl. 323 (2006) 1001-1006
2. Kirk W.A. Contraction mappings and extensions. In: Kirk W.A., and Sims B. (Eds). Handbook of Metric Fixed Point Theory (2001), Kluwer Academic Publishers, Dordrecht 1-34
3. Kirk W.A., Srinivasan P.S., and Veeramani P. Fixed points for mappings satisfying cyclical contractive conditions. Fixed Point Theory 4 (2003) 79-89
4. Petrusel G. Cyclic representations and periodic points. Studia Univ. Babes-Bolyai, Math. 50 (2005) 107-112
5. Rus I.A., Petrusel A., and Petrusel G. Fixed point theorems for set-valued Y-contractions. Banach Center Publ. 77 (2007) 227-237