Proximal normal structure and relatively nonexpansive mappings

Studia Mathematica

Volumn 171, Issue 3, 2005, Pages 283-293

  Eldred, A Anthony ^a,b   Kirk, W A ^a,c   Veeramani, P ^a,b  

^a Indian Institute of Technology Madras ^*

^b INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^c UNIVERSITY OF IOWA   (United States)

Author keywords

Fixed points; Proximal normal structure; Proximal points; Relatively nonexpansive mappings

Indexed keywords

EID: 31544448842     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm171-3-5     Document Type: Article

References (6)

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3. W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965), 1004-1006.
4. W. A. Kirk, S. Reich, and P. Veeramani, Proximinal retracts and best proximity pair theorems, Numer. Funct. Anal. Optim. 24 (2003), 851-862.
5. W. A. Kirk, P. S. Srinivasan, and P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory 4 (2003), 79-89.
6. M. A. Krasnosel'skiǐ, Two remarks on the method of successive approximations, Uspekhi Mat. Nauk (N.S.) 10 (1955), 123-127 (in Russian).