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Volumn 68, Issue 8, 2008, Pages 2181-2193

Fixed points for generalized contractions and applications to control theory

Author keywords

Dynamic programming; Fixed points; p contraction

Indexed keywords

BANACH SPACES; DYNAMIC PROGRAMMING; INTEGRAL EQUATIONS; TOPOLOGY;

EID: 39749116773     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.01.041     Document Type: Article
Times cited : (17)

References (20)
  • 1
    • 0000307498 scopus 로고
    • Sur les oprations dans les ensembles abstraits et leur applications aux equations integrales
    • Banach S. Sur les oprations dans les ensembles abstraits et leur applications aux equations integrales. Fund. Math. 3 (1922) 133-181
    • (1922) Fund. Math. , vol.3 , pp. 133-181
    • Banach, S.1
  • 4
    • 0001191285 scopus 로고
    • Fixed point theorems for mappings satisfying the inwardness condition
    • Caristi J. Fixed point theorems for mappings satisfying the inwardness condition. Trans. Amer. Math. Soc. 215 (1976) 241-251
    • (1976) Trans. Amer. Math. Soc. , vol.215 , pp. 241-251
    • Caristi, J.1
  • 5
    • 0012096090 scopus 로고
    • On contraction type mappings
    • Ćirić Lj.B. On contraction type mappings. Math. Balkanica 1 (1971) 52-57
    • (1971) Math. Balkanica , vol.1 , pp. 52-57
    • Ćirić, Lj.B.1
  • 6
    • 0004084850 scopus 로고
    • An extention of Banach contraction principle
    • Edelstein M. An extention of Banach contraction principle. Proc. Amer. Math. Soc. 12 (1961) 7-10
    • (1961) Proc. Amer. Math. Soc. , vol.12 , pp. 7-10
    • Edelstein, M.1
  • 8
    • 0001293657 scopus 로고
    • A Banach type fixed-point theorem
    • Hicks T.L., and Rhoades B.E. A Banach type fixed-point theorem. Math. Japon. 24 3 (1979-80) 327-330
    • (1979) Math. Japon. , vol.24 , Issue.3 , pp. 327-330
    • Hicks, T.L.1    Rhoades, B.E.2
  • 9
    • 0007009336 scopus 로고
    • Fixed points and continuity for multivalued mappings
    • Hicks T.L., and Rhoades B.E. Fixed points and continuity for multivalued mappings. Internat. J. Math. Sci. 15 (1992) 15-30
    • (1992) Internat. J. Math. Sci. , vol.15 , pp. 15-30
    • Hicks, T.L.1    Rhoades, B.E.2
  • 10
    • 0039699333 scopus 로고
    • Equivalent conditions and the Meir-Keeler type theorems
    • Jachymski J. Equivalent conditions and the Meir-Keeler type theorems. J. Math. Anal. Appl. 194 (1995) 293-303
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 293-303
    • Jachymski, J.1
  • 11
    • 0013106917 scopus 로고    scopus 로고
    • Kirk W.A., and Sims B. (Eds), Kluwer Acad. Publ., Dordrecht
    • In: Kirk W.A., and Sims B. (Eds). Handbook of Metric Fixed Point Theory (2001), Kluwer Acad. Publ., Dordrecht
    • (2001) Handbook of Metric Fixed Point Theory
  • 13
    • 0011728646 scopus 로고
    • Integral solutions of functional equations
    • Matkowski J. Integral solutions of functional equations. Diss. Math. 127 (1975)
    • (1975) Diss. Math. , vol.127
    • Matkowski, J.1
  • 14
  • 15
    • 0001223129 scopus 로고
    • A theorem on contraction mappings
    • Meir A., and Keeler E. A theorem on contraction mappings. J. Math. Anal. Appl. 28 (1969) 326-329
    • (1969) J. Math. Anal. Appl. , vol.28 , pp. 326-329
    • Meir, A.1    Keeler, E.2
  • 16
    • 0004120031 scopus 로고    scopus 로고
    • Remarks on R-weakly commuting mappings and common fixed point theorems
    • Pathak H.K., Cho Y.J., and Kang S.M. Remarks on R-weakly commuting mappings and common fixed point theorems. Bull. Korean Math. Soc. 34 (1997) 247-257
    • (1997) Bull. Korean Math. Soc. , vol.34 , pp. 247-257
    • Pathak, H.K.1    Cho, Y.J.2    Kang, S.M.3
  • 17
    • 34247555441 scopus 로고
    • On ε-contractive mappings
    • Rakoch E. On ε-contractive mappings. Bull. Res. Counc. Israel 10F (1962) 53-58
    • (1962) Bull. Res. Counc. Israel , vol.10 F , pp. 53-58
    • Rakoch, E.1
  • 18
    • 0041010793 scopus 로고
    • Contractive definitions and continuity
    • Rhoades B.E. Contractive definitions and continuity. Contemp. Math. 72 (1988) 233-245
    • (1988) Contemp. Math. , vol.72 , pp. 233-245
    • Rhoades, B.E.1
  • 20
    • 24944533939 scopus 로고
    • Set-valued topological contrations
    • Tarafdar E., and Yuan X.-Z. Set-valued topological contrations. Appl. Math. Lett. 8 6 (1995) 79-81
    • (1995) Appl. Math. Lett. , vol.8 , Issue.6 , pp. 79-81
    • Tarafdar, E.1    Yuan, X.-Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.