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Volumn 49, Issue 1, 2011, Pages 15-21

Best proximity points: Global optimal approximate solutions

Author keywords

Best proximity point; Contractive mapping; Fixed point; Global optimal approximate solution

Indexed keywords

FIXED POINT ARITHMETIC; ITERATIVE METHODS; MAPPING;

EID: 78650754373     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-009-9521-0     Document Type: Article
Times cited : (103)

References (21)
  • 1
    • 61749086943 scopus 로고    scopus 로고
    • Convergence and existence results for best proximity points
    • 10.1016/j.na.2008.07.022
    • M.A. Al-Thagafi N. Shahzad 2009 Convergence and existence results for best proximity points Nonlinear Anal. 70 10 3665 3671 10.1016/j.na.2008.07.022
    • (2009) Nonlinear Anal. , vol.70 , Issue.10 , pp. 3665-3671
    • Al-Thagafi, M.A.1    Shahzad, N.2
  • 2
    • 56449110909 scopus 로고    scopus 로고
    • Best proximity pairs and equilibrium pairs for Kakutani multimaps
    • 10.1016/j.na.2008.02.004
    • M.A. Al-Thagafi N. Shahzad 2009 Best proximity pairs and equilibrium pairs for Kakutani multimaps Nonlinear Anal. 70 3 1209 1216 10.1016/j.na.2008. 02.004
    • (2009) Nonlinear Anal. , vol.70 , Issue.3 , pp. 1209-1216
    • Al-Thagafi, M.A.1    Shahzad, N.2
  • 3
    • 61549115353 scopus 로고    scopus 로고
    • Best proximity sets and equilibrium pairs for a finite family of multimaps
    • Art. ID 457069
    • Al-Thagafi, M.A., Shahzad, N.: Best proximity sets and equilibrium pairs for a finite family of multimaps, Fixed Point Theory Appl., Art. ID 457069, 10 pp (2008)
    • (2008) Fixed Point Theory Appl. , pp. 10
    • Al-Thagafi, M.A.1    Shahzad, N.2
  • 4
    • 33750609842 scopus 로고    scopus 로고
    • Existence and convergence of best proximity points
    • DOI 10.1016/j.jmaa.2005.10.081, PII S0022247X05011194
    • A. Anthony Eldred P. Veeramani 2006 Existence and convergence of best proximity points J. Math. Anal. Appl. 323 1001 1006 10.1016/j.jmaa.2005.10.081 (Pubitemid 44688511)
    • (2006) Journal of Mathematical Analysis and Applications , vol.323 , Issue.2 , pp. 1001-1006
    • Eldred, A.A.1    Veeramani, P.2
  • 5
    • 31544448842 scopus 로고    scopus 로고
    • Proximal normal structure and relatively nonexpansive mappings
    • DOI 10.4064/sm171-3-5
    • A. Anthony Eldred W.A. Kirk P. Veeramani 2005 Proximinal normal structure and relatively nonexpanisve mappings Studia Math. 171 3 283 293 10.4064/sm171-3-5 (Pubitemid 43156219)
    • (2005) Studia Mathematica , vol.171 , Issue.3 , pp. 283-293
    • Eldred, A.A.1    Kirk, W.A.2    Veeramani, P.3
  • 6
    • 53949101098 scopus 로고    scopus 로고
    • Best proximity points for cyclic Meir-Keeler contractions
    • 10.1016/j.na.2007.10.014
    • C. Di Bari T. Suzuki C. Vetro 2008 Best proximity points for cyclic Meir-Keeler contractions Nonlinear Anal. 69 11 3790 3794 10.1016/j.na.2007.10. 014
    • (2008) Nonlinear Anal. , vol.69 , Issue.11 , pp. 3790-3794
    • Di Bari, C.1    Suzuki, T.2    Vetro, C.3
  • 7
    • 84963019042 scopus 로고
    • On fixed and periodic points under contractive mappings
    • 10.1112/jlms/s1-37.1.74
    • M. Edelstein 1962 On fixed and periodic points under contractive mappings J. London Math. Soc. 37 74 79 10.1112/jlms/s1-37.1.74
    • (1962) J. London Math. Soc. , vol.37 , pp. 74-79
    • Edelstein, M.1
  • 8
    • 0000310867 scopus 로고
    • Extensions of two fixed point theorems of F. E. Browder
    • 10.1007/BF01110225
    • K. Fan 1969 Extensions of two fixed point theorems of F. E. Browder Math. Z. 112 234 240 10.1007/BF01110225
    • (1969) Math. Z. , vol.112 , pp. 234-240
    • Fan, K.1
  • 9
    • 63849217137 scopus 로고    scopus 로고
    • Best proximity point theorems for p-cyclic Meir-Keeler contractions
    • Art. ID 197308
    • Karpagam, S., Agrawal, S.: Best proximity point theorems for p-cyclic Meir-Keeler contractions, Fixed Point Theory Appl., Art. ID 197308, 9 pp (2009)
    • (2009) Fixed Point Theory Appl. , pp. 9
    • Karpagam, S.1    Agrawal, S.2
  • 10
    • 39749195438 scopus 로고    scopus 로고
    • On general best proximity pairs and equilibrium pairs in free abstract economies
    • DOI 10.1016/j.na.2007.01.057, PII S0362546X07001009
    • W.K. Kim S. Kum K.H. Lee 2008 On general best proximity pairs and equilibrium pairs in free abstract economies Nonlinear Anal. 68 8 2216 2222 10.1016/j.na.2007.01.057 (Pubitemid 351295814)
    • (2008) Nonlinear Analysis, Theory, Methods and Applications , vol.68 , Issue.8 , pp. 2216-2227
    • Kim, W.K.1    Kum, S.2    Lee, K.H.3
  • 11
    • 0346972989 scopus 로고    scopus 로고
    • Proximinal retracts and best proximity pair theorems
    • 10.1081/NFA-120026380
    • W.A. Kirk S. Reich P. Veeramani 2003 Proximinal retracts and best proximity pair theorems Numer. Funct. Anal. Optim. 24 851 862 10.1081/NFA-120026380
    • (2003) Numer. Funct. Anal. Optim. , vol.24 , pp. 851-862
    • Kirk, W.A.1    Reich, S.2    Veeramani, P.3
  • 12
    • 0020306337 scopus 로고
    • Fixed point theorems for set valued mappings and existence of best approximations
    • Prolla, J.B.: Fixed point theorems for set valued mappings and existence of best approximations, Numer. Funct. Anal. Optim. 5, 449-455 (1982-1983)
    • (1982) Numer. Funct. Anal. Optim. , vol.5 , pp. 449-455
    • Prolla, J.B.1
  • 13
    • 0001654390 scopus 로고
    • Approximate selections, best approximations, fixed points and invariant sets
    • 10.1016/0022-247X(78)90222-6
    • S. Reich 1978 Approximate selections, best approximations, fixed points and invariant sets J. Math. Anal. Appl. 62 104 113 10.1016/0022-247X(78)90222-6
    • (1978) J. Math. Anal. Appl. , vol.62 , pp. 104-113
    • Reich, S.1
  • 15
    • 0041995297 scopus 로고    scopus 로고
    • Best proximity pair theorems for multifunctions with open fibres
    • 10.1006/jath.1999.3415
    • S. Sadiq Basha P. Veeramani 2000 Best proximity pair theorems for multifunctions with open fibres J. Approx. Theory 103 119 129 10.1006/jath.1999.3415
    • (2000) J. Approx. 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
    • V.M. Sehgal S.P. Singh 1988 A generalization to multifunctions of Fan's best approximation theorem Proc. Am. Math. Soc. 102 534 537
    • (1988) Proc. Am. Math. Soc. , vol.102 , pp. 534-537
    • Sehgal, V.M.1    Singh, S.P.2
  • 18
    • 0024305112 scopus 로고
    • A theorem on best approximations
    • 10.1080/01630568908816298
    • V.M. Sehgal S.P. Singh 1989 A theorem on best approximations Numer. Funct. Anal. Optim. 10 181 184 10.1080/01630568908816298
    • (1989) Numer. Funct. Anal. Optim. , vol.10 , pp. 181-184
    • Sehgal, V.M.1    Singh, S.P.2
  • 20
    • 0007381553 scopus 로고
    • Some extensions of Fan's best approximation theorem
    • 10.1080/01630569208816486
    • V. Vetrivel P. Veeramani P. Bhattacharyya 1992 Some extensions of Fan's best approximation theorem Numer. Funct. Anal. Optim. 13 397 402 10.1080/01630569208816486
    • (1992) Numer. Funct. Anal. Optim. , vol.13 , pp. 397-402
    • Vetrivel, V.1    Veeramani, P.2    Bhattacharyya, P.3
  • 21
    • 61349181980 scopus 로고    scopus 로고
    • Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
    • 10.1016/j.na.2008.04.037
    • K. Wlodarczyk R. Plebaniak A. Banach 2009 Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces Nonlinear Anal. 70 9 3332 3341 10.1016/j.na.2008.04.037
    • (2009) Nonlinear Anal. , vol.70 , Issue.9 , pp. 3332-3341
    • Wlodarczyk, K.1    Plebaniak, R.2    Banach, A.3


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