메뉴 건너뛰기




Volumn 71, Issue 7-8, 2009, Pages 3403-3410

Fixed point theorems for weakly contractive mappings in partially ordered sets

Author keywords

Fixed point; Partially ordered set; Weakly contractive map

Indexed keywords

COMPLETE METRIC SPACE; CONTRACTIVE MAPPING; FIXED POINT; FIXED POINT THEOREMS; PARTIAL ORDER; PARTIALLY ORDERED SET; WEAKLY CONTRACTIVE MAP;

EID: 67349191471     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.01.240     Document Type: Article
Times cited : (312)

References (19)
  • 1
    • 0000177408 scopus 로고    scopus 로고
    • Principles of weakly contractive maps in Hilbert spaces, new results in operator theory
    • Gohberg I., and Lyubich Y. (Eds), Birkhauser Verlag, Basel
    • Alber Ya.I., and Guerre-Delabriere S. Principles of weakly contractive maps in Hilbert spaces, new results in operator theory. In: Gohberg I., and Lyubich Y. (Eds). Advances and Appl. vol. 98 (1997), Birkhauser Verlag, Basel 7-22
    • (1997) Advances and Appl. , vol.98 , pp. 7-22
    • Alber, Ya.I.1    Guerre-Delabriere, S.2
  • 2
    • 0035420958 scopus 로고    scopus 로고
    • Some theorems on weakly contractive maps
    • Rhoades B.E. Some theorems on weakly contractive maps. Nonlinear Anal. 47 (2001) 2683-2693
    • (2001) Nonlinear Anal. , vol.47 , pp. 2683-2693
    • Rhoades, B.E.1
  • 3
    • 85064802633 scopus 로고    scopus 로고
    • Generalized contractions in partially ordered metric spaces
    • Agarwal R.P., El-Gebeily M.A., and O'Regan D. Generalized contractions in partially ordered metric spaces. Appl. Anal. 87 (2008) 109-116
    • (2008) Appl. Anal. , vol.87 , pp. 109-116
    • Agarwal, R.P.1    El-Gebeily, M.A.2    O'Regan, D.3
  • 6
    • 33745215115 scopus 로고    scopus 로고
    • Fixed points theorem in partially ordered metric spaces and applications
    • Gnana Bhaskar T., and Lakshmikantham V. Fixed points theorem in partially ordered metric spaces and applications. Nonlinear Anal. 65 (2006) 1379-1393
    • (2006) Nonlinear Anal. , vol.65 , pp. 1379-1393
    • Gnana Bhaskar, T.1    Lakshmikantham, V.2
  • 7
    • 63749106584 scopus 로고    scopus 로고
    • Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
    • in press doi:10.1016/j.na.2008.09.020
    • V. Lakshmikantham, L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal., in press (doi:10.1016/j.na.2008.09.020)
    • Nonlinear Anal
    • Lakshmikantham, V.1    Ciric, L.2
  • 9
    • 33644688928 scopus 로고    scopus 로고
    • Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
    • Nieto J.J., and Rodríguez-López R. Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Order 22 (2005) 223-239
    • (2005) Order , vol.22 , pp. 223-239
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 10
    • 58149133883 scopus 로고    scopus 로고
    • Applications of contractive-like mapping principles to fuzzy equations
    • Nieto J.J., and Rodríguez-López R. Applications of contractive-like mapping principles to fuzzy equations. Rev. Mat. Complut. 19 (2006) 361-383
    • (2006) Rev. Mat. Complut. , vol.19 , pp. 361-383
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 12
    • 36448985642 scopus 로고    scopus 로고
    • Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
    • Nieto J.J., and Rodríguez-López R. Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations. Acta Math. Sinica 23 (2007) 2205-2212
    • (2007) Acta Math. Sinica , vol.23 , pp. 2205-2212
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 13
    • 39149096653 scopus 로고    scopus 로고
    • Fixed point theorems for generalized contractions in ordered metric spaces
    • O'Regan D., and Petrusel A. Fixed point theorems for generalized contractions in ordered metric spaces. J. Math. Anal. Appl. 341 2 (2008) 1241-1252
    • (2008) J. Math. Anal. Appl. , vol.341 , Issue.2 , pp. 1241-1252
    • O'Regan, D.1    Petrusel, A.2
  • 14
    • 33644529755 scopus 로고    scopus 로고
    • Fixed point theorems in ordered L-spaces
    • Petrusel A., and Rus I.A. Fixed point theorems in ordered L-spaces. Proc. Amer. Math. Soc. 134 (2006) 411-418
    • (2006) Proc. Amer. Math. Soc. , vol.134 , pp. 411-418
    • Petrusel, A.1    Rus, I.A.2
  • 15
    • 2142762916 scopus 로고    scopus 로고
    • A fixed point theorem in partially ordered sets and some applications to matrix equations
    • Ran A.C.M., and Reurings M.C.B. A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Amer. Math. Soc. 132 (2004) 1435-1443
    • (2004) Proc. Amer. Math. Soc. , vol.132 , pp. 1435-1443
    • Ran, A.C.M.1    Reurings, M.C.B.2
  • 16
    • 38949105812 scopus 로고    scopus 로고
    • New fixed point theorems and applications of mixed monotone operator
    • Wu Y. New fixed point theorems and applications of mixed monotone operator. J. Math. Anal. Appl. 341 (2008) 883-893
    • (2008) J. Math. Anal. Appl. , vol.341 , pp. 883-893
    • Wu, Y.1
  • 17
    • 38849090073 scopus 로고    scopus 로고
    • Common fixed point theorems of Gregus type for weakly compatible mappings satisfying generalized contractive conditions
    • Aliouche A. Common fixed point theorems of Gregus type for weakly compatible mappings satisfying generalized contractive conditions. J. Math. Anal. Appl. 341 (2008) 707-719
    • (2008) J. Math. Anal. Appl. , vol.341 , pp. 707-719
    • Aliouche, A.1
  • 18
    • 36949011637 scopus 로고    scopus 로고
    • Fixed points of weakly compatible maps satisfying a general contractive condition of integral type
    • Article ID 17301
    • Altun I., Turkoglu D., and Rhoades B.E. Fixed points of weakly compatible maps satisfying a general contractive condition of integral type. Fixed Point Theory and Applications (2007) Article ID 17301
    • (2007) Fixed Point Theory and Applications
    • Altun, I.1    Turkoglu, D.2    Rhoades, B.E.3
  • 19
    • 0033909311 scopus 로고    scopus 로고
    • Fixed points and approximate solutions for nonlinear operator equations
    • Cabada A., and Nieto J.J. Fixed points and approximate solutions for nonlinear operator equations. J. Comput. Appl. Math. 113 (2000) 17-25
    • (2000) J. Comput. Appl. Math. , vol.113 , pp. 17-25
    • Cabada, A.1    Nieto, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.