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Volumn 24, Issue 7-8, 2003, Pages 851-862

Proximinal retracts and best proximity pair theorems

Author keywords

Best proximity pairs; Hyperconvex spaces; Nonexpansive mappings; Proximinal sets

Indexed keywords

APPROXIMATION THEORY; CONFORMAL MAPPING; MATHEMATICAL MODELS; OPTIMIZATION;

EID: 0346972989     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-120026380     Document Type: Article
Times cited : (250)

References (20)
  • 1
    • 0001793642 scopus 로고
    • Nonexpansive mappings and hyperconvex spaces
    • Baillon, J.-B. (1988). Nonexpansive mappings and hyperconvex spaces. Contemp. Math. 72:11-19.
    • (1988) Contemp. Math. , vol.72 , pp. 11-19
    • Baillon, J.-B.1
  • 2
    • 0012750683 scopus 로고    scopus 로고
    • Introduction to hyperconvex spaces
    • In: Kirk, W. A., Sims, B., eds.; Dordrecht: Kluwer Academic Publishers
    • Espínola, R., Khamsi, M. A. (2001). Introduction to hyperconvex spaces. In: Kirk, W. A., Sims, B., eds. Handbook of Metric Fixed Point Theory. Dordrecht: Kluwer Academic Publishers, pp. 391-435.
    • (2001) Handbook of Metric Fixed Point Theory , pp. 391-435
    • Espínola, R.1    Khamsi, M.A.2
  • 3
    • 0034668463 scopus 로고    scopus 로고
    • Nonexpansive retractions in hyperconvex spaces
    • Espínola, R., Kirk, W. A., López, G. (2000). Nonexpansive retractions in hyperconvex spaces. J. Math. Anal. Appl. 251:557-570.
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 557-570
    • Espínola, R.1    Kirk, W.A.2    López, G.3
  • 4
    • 0030588792 scopus 로고    scopus 로고
    • KKM and Ky Fan theorems in hyperconvex metric spaces
    • Khamsi, M. A. (1996). KKM and Ky Fan theorems in hyperconvex metric spaces. J. Math. Anal. Appl. 204:298-306.
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 298-306
    • Khamsi, M.A.1
  • 5
  • 6
    • 0000922296 scopus 로고    scopus 로고
    • Fixed point theorems in hyperconvex spaces
    • Kirk, W. A., Shin, S. S. (1997). Fixed point theorems in hyperconvex spaces. Houston J. Math. 23:175-187.
    • (1997) Houston J. Math. , vol.23 , pp. 175-187
    • Kirk, W.A.1    Shin, S.S.2
  • 7
    • 0000310867 scopus 로고
    • Extensions of two fixed point theorems of F. E. Browder
    • Ky Fan. (1969). Extensions of two fixed point theorems of F. E. Browder. Math. Zeit. 112:234-240.
    • (1969) Math. Zeit. , vol.112 , pp. 234-240
    • Fan, K.1
  • 8
    • 84968466492 scopus 로고
    • A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space
    • Lim, T.-C. (1974). A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space. Bull. Amer. Math. Soc. 80:1123-1126.
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 1123-1126
    • Lim, T.-C.1
  • 9
    • 0020306337 scopus 로고
    • Fixed point theorems for set valued mappings and existence of best approximations
    • Prolla, J. B. (1982-1983). Fixed point theorems for set valued mappings and existence of best approximations. Numer. Funct. Anal. Optim. 5:449-455.
    • (1982) Numer. Funct. Anal. Optim. , vol.5 , pp. 449-455
    • Prolla, J.B.1
  • 10
    • 0001654390 scopus 로고
    • Approximate selections, best approximations, fixed points, and invariants sets
    • Reich, S. (1978). Approximate selections, best approximations, fixed points, and invariants sets. J. Math. Anal. Appl. 62:104-113.
    • (1978) J. Math. Anal. Appl. , vol.62 , pp. 104-113
    • Reich, S.1
  • 11
    • 38249022572 scopus 로고
    • Hyperconvexity and approximate fixed points
    • Sine, R. (1989a). Hyperconvexity and approximate fixed points. Nonlinear Anal. 13:863-869.
    • (1989) Nonlinear Anal. , vol.13 , pp. 863-869
    • Sine, R.1
  • 12
    • 0001558906 scopus 로고
    • Hyperconvexity and nonexpansive multifunctions
    • Sine, R. (1989b). Hyperconvexity and nonexpansive multifunctions. Trans. Amer. Math. Soc. 315:755-767.
    • (1989) Trans. Amer. Math. Soc. , vol.315 , pp. 755-767
    • Sine, R.1
  • 13
  • 14
    • 0041995297 scopus 로고    scopus 로고
    • Best proximity pair theorems for multifunctions with open fibres
    • Sadiq Basha, S., Veeramani, P. (2000). Best proximity pair theorems for multifunctions with open fibres. J. Approximation Theory 103:119-129.
    • (2000) J. Approximation Theory , vol.103 , pp. 119-129
    • Sadiq Basha, S.1    Veeramani, P.2
  • 17
    • 84966236054 scopus 로고
    • A generalization to multifunctions of Fan's best approximation theorem
    • Sehgal, V. M., Singh, S. P. (1988). A generalization to multifunctions of Fan's best approximation theorem. Proc. Amer. Math. Soc. 102:534-537.
    • (1988) Proc. Amer. Math. Soc. , vol.102 , pp. 534-537
    • Sehgal, V.M.1    Singh, S.P.2
  • 19


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.