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Volumn 126, Issue 10, 1998, Pages 3117-3124

Contractive mappings, kannan mappings and metric completeness

Author keywords

Completeness; Contractive mapping; Fixed point; Kannan mapping; Mean

Indexed keywords


EID: 22444456511     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04605-x     Document Type: Article
Times cited : (63)

References (12)
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  • 4
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    • Nonconvex minimization problems
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    • On a fixed-point theorem for metric spaces
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    • T. K. Hu, On a fixed-point theorem for metric spaces, Amer. Math. Monthly 74 (1967), 436-437. MR 35:1002
    • (1967) Amer. Math. Monthly , vol.74 , pp. 436-437
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  • 6
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    • Nonconvex minimization theorems and fixed point theorems in complete metric spaces
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    • O. Kada, T. Suzuki and W. Takahashi, Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japonica 44 (1996), 381-391. MR 97j:49011
    • (1996) Math. Japonica , vol.44 , pp. 381-391
    • Kada, O.1    Suzuki, T.2    Takahashi, W.3
  • 7
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    • Some results on fixed points - II
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    • R. Kannan, Some results on fixed points - II, Amer. Math. Monthly 76 (1969), 405-408. MR 41:2487
    • (1969) Amer. Math. Monthly , vol.76 , pp. 405-408
    • Kannan, R.1
  • 8
    • 0003171883 scopus 로고
    • Caristi's fixed point theorem and metric convexity
    • MR 55:9061
    • W. A. Kirk, Caristi's fixed point theorem and metric convexity, Colloquium Math. 36 (1976), 81-86. MR 55:9061
    • (1976) Colloquium Math. , vol.36 , pp. 81-86
    • Kirk, W.A.1
  • 9
    • 0001830961 scopus 로고
    • Kannan's fixed point theorem
    • MR 46:4293
    • S. Reich, Kannan's fixed point theorem, Boll. Un. Mat. Hal. 4 (1971), 1-11. MR 46:4293
    • (1971) Boll. Un. Mat. Hal. , vol.4 , pp. 1-11
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  • 10
    • 0007148279 scopus 로고    scopus 로고
    • Several fixed point theorems in complete metric spaces
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  • 11
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    • Fixed point theorems and characterizations of metric completeness
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  • 12
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    • Existence theorems generalizing fixed point theorems for multivalued mappings
    • (M. A. Théra and J. B. Bâillon Eds.), Pitman Research Notes in Mathematics Series John Wiley & Sons, New York, MR 92m:54078
    • W. Takahashi, Existence theorems generalizing fixed point theorems for multivalued mappings, in Fixed Point Theory and Applications (M. A. Théra and J. B. Bâillon Eds.), Pitman Research Notes in Mathematics Series 252, 397-406, John Wiley & Sons, New York, 1991. MR 92m:54078
    • (1991) Fixed Point Theory and Applications , vol.252 , pp. 397-406
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.