메뉴 건너뛰기




Volumn 2013, Issue , 2013, Pages

Fixed point theorems for monotone operators and applications to nonlinear elliptic problems

Author keywords

Coupled fixed point; Mixed monotone mapping; Partially ordered metric space; Quadruple fixed point

Indexed keywords


EID: 84899550375     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1186/1687-1812-2013-134     Document Type: Article
Times cited : (20)

References (32)
  • 1
    • 33745215115 scopus 로고    scopus 로고
    • Fixed point theory in partially ordered metric spaces and applications
    • Bhaskar, TG, Lakshmikantham, V: Fixed point theory in partially ordered metric spaces and applications. Nonlinear Anal. 65, 1379-1393 (2006)
    • (2006) Nonlinear Anal. , vol.65 , pp. 1379-1393
    • Bhaskar, T.G.1    Lakshmikantham, V.2
  • 2
    • 63749106584 scopus 로고    scopus 로고
    • Couple fixed point theorems for nonlinear contractions in partially ordered metric spaces
    • Lakshmikantham, V, Ciric, L: Couple fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. 70, 4341-4349 (2009)
    • (2009) Nonlinear Anal. , vol.70 , pp. 4341-4349
    • Lakshmikantham, V.1    Ciric, L.2
  • 3
    • 79958820971 scopus 로고    scopus 로고
    • Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
    • Berinde, V, Borcut, M: Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces. Nonlinear Anal. 74(15), 4889-4897 (2011)
    • (2011) Nonlinear Anal. , vol.74 , Issue.15 , pp. 4889-4897
    • Berinde, V.1    Borcut, M.2
  • 4
    • 84865658898 scopus 로고    scopus 로고
    • Quadruple fixed point theorems for nonlinear contractions
    • doi:10.1016/j.camwa.2012.02.061
    • Karapinar, E, Luong, NV: Quadruple fixed point theorems for nonlinear contractions. Comput. Math. Appl. (2012). doi:10.1016/j.camwa.2012.02.061
    • (2012) Comput. Math. Appl.
    • Karapinar, E.1    Luong, N.V.2
  • 5
    • 77955417838 scopus 로고    scopus 로고
    • Common coupled fixed point theorems in cone metric space for w-compatible mappings
    • Abbas, M, Khan, MA, Radenovic, S: Common coupled fixed point theorems in cone metric space for w-compatible mappings. Appl. Math. Comput. 217, 195-203 (2010)
    • (2010) Appl. Math. Comput. , vol.217 , pp. 195-203
    • Abbas, M.1    Khan, M.A.2    Radenovic, S.3
  • 6
    • 72649101204 scopus 로고    scopus 로고
    • A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
    • Amini-Harandi, A, Emami, H: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations. Nonlinear Anal. 72, 2238-2242 (2010)
    • (2010) Nonlinear Anal. , vol.72 , pp. 2238-2242
    • Amini-Harandi, A.1    Emami, H.2
  • 7
    • 0001764605 scopus 로고
    • Existence theorems of coupled fixed points
    • Chen, YZ: Existence theorems of coupled fixed points. J. Math. Anal. Appl. 154, 142-150 (1991)
    • (1991) J. Math. Anal. Appl. , vol.154 , pp. 142-150
    • Chen, Y.Z.1
  • 8
    • 77955467920 scopus 로고    scopus 로고
    • A coupled coincidence point result in partially ordered metric spaces for compatible mappings
    • Choudhury, BS, Kundu, A: A coupled coincidence point result in partially ordered metric spaces for compatible mappings. Nonlinear Anal. 73, 2524-2531 (2010)
    • (2010) Nonlinear Anal. , vol.73 , pp. 2524-2531
    • Choudhury, B.S.1    Kundu, A.2
  • 9
    • 78651357943 scopus 로고    scopus 로고
    • Some fixed point generalizations are not real generalizations
    • Haghi, RH, Rezapour, S, Shahzad, N: Some fixed point generalizations are not real generalizations. Nonlinear Anal. 74, 1799-1803 (2011)
    • (2011) Nonlinear Anal. , vol.74 , pp. 1799-1803
    • Haghi, R.H.1    Rezapour, S.2    Shahzad, N.3
  • 10
    • 84863349125 scopus 로고    scopus 로고
    • Fixed point theorems for a class of positive mixed monotone operators
    • Huang, C-Y: Fixed point theorems for a class of positive mixed monotone operators. Math. Nachr. 285, 659-669 (2012)
    • (2012) Math. Nachr. , vol.285 , pp. 659-669
    • Huang, C.-Y.1
  • 11
    • 67349108297 scopus 로고    scopus 로고
    • Hilbert's projective metric and nonlinear elliptic problems
    • Huang, MJ, Huang, CY, Tsai, TM: Hilbert's projective metric and nonlinear elliptic problems. Nonlinear Anal. 71, 2576-2584 (2009)
    • (2009) Nonlinear Anal. , vol.71 , pp. 2576-2584
    • Huang, M.J.1    Huang, C.Y.2    Tsai, T.M.3
  • 12
    • 80052812801 scopus 로고    scopus 로고
    • Coupled fixed points of multivalued operators and first-order ODEs with state-dependent deviating arguments
    • Figueroa, R, López Pouso, R: Coupled fixed points of multivalued operators and first-order ODEs with state-dependent deviating arguments. Nonlinear Anal. 74, 6876-6889 (2011)
    • (2011) Nonlinear Anal. , vol.74 , pp. 6876-6889
    • Figueroa, R.1    López Pouso, R.2
  • 13
    • 84856871519 scopus 로고    scopus 로고
    • Quadruple fixed point theorems for nonlinear contractions in partially ordered metric spaces
    • Karapinar, E, Berinde, V: Quadruple fixed point theorems for nonlinear contractions in partially ordered metric spaces. Banach J. Math. Anal. 6, 74-79 (2012)
    • (2012) Banach J. Math. Anal. , vol.6 , pp. 74-79
    • Karapinar, E.1    Berinde, V.2
  • 14
    • 77953231875 scopus 로고    scopus 로고
    • Couple fixed point theorems for nonlinear contractions in cone metric spaces
    • Karapinar, E: Couple fixed point theorems for nonlinear contractions in cone metric spaces. Comput. Math. Appl. 59, 3656-3668 (2010)
    • (2010) Comput. Math. Appl. , vol.59 , pp. 3656-3668
    • Karapinar, E.1
  • 15
    • 84966219504 scopus 로고
    • On certain contraction mappings in a partially ordered vector space
    • Thompson, AC: On certain contraction mappings in a partially ordered vector space. Proc. Am. Math. Soc. 14, 438-443 (1963)
    • (1963) Proc. Am. Math. Soc. , vol.14 , pp. 438-443
    • Thompson, A.C.1
  • 16
    • 84655168090 scopus 로고    scopus 로고
    • Fixed point theorems for φ-contractive type mappings
    • Samet, B, Vetro, C, Vetro, P: Fixed point theorems for φ-contractive type mappings. Nonlinear Anal. 75, 2154-2165 (2012)
    • (2012) Nonlinear Anal. , vol.75 , pp. 2154-2165
    • Samet, B.1    Vetro, C.2    Vetro, P.3
  • 17
    • 77957372598 scopus 로고    scopus 로고
    • Partially ordered cone metric spaces and coupled fixed point results
    • Shatanawi, W: Partially ordered cone metric spaces and coupled fixed point results. Comput. Math. Appl. 60, 2508-2515 (2010)
    • (2010) Comput. Math. Appl. , vol.60 , pp. 2508-2515
    • Shatanawi, W.1
  • 18
    • 80053345778 scopus 로고    scopus 로고
    • On (ψ, φ)-weakly contractive condition in partially ordered metric spaces
    • Shatanawi, W, Samet, B: On (ψ, φ)-weakly contractive condition in partially ordered metric spaces. Comput. Math. Appl. 62, 3204-3214 (2011)
    • (2011) Comput. Math. Appl. , vol.62 , pp. 3204-3214
    • Shatanawi, W.1    Samet, B.2
  • 19
    • 84857912340 scopus 로고    scopus 로고
    • On w-compatible mappings and common coupled coincidence point in cone metric spaces
    • Shatanawi, W: On w-compatible mappings and common coupled coincidence point in cone metric spaces. Appl. Math. Lett. 25, 925-931 (2012)
    • (2012) Appl. Math. Lett. , vol.25 , pp. 925-931
    • Shatanawi, W.1
  • 20
    • 79957565590 scopus 로고    scopus 로고
    • Common coupled fixed point results for probabilistic φ-contractions in Menger spaces
    • Xiao, JZ, Zhu, XH, Cao, YF: Common coupled fixed point results for probabilistic φ-contractions in Menger spaces. Nonlinear Anal. 74, 4589-4600 (2011)
    • (2011) Nonlinear Anal. , vol.74 , pp. 4589-4600
    • Xiao, J.Z.1    Zhu, X.H.2    Cao, Y.F.3
  • 21
    • 67349206220 scopus 로고    scopus 로고
    • Krasnoselskii type fixed point theorems and applications
    • Liu, YC, Li, ZX: Krasnoselskii type fixed point theorems and applications. Proc. Am. Math. Soc. 136, 1213-1220 (2008)
    • (2008) Proc. Am. Math. Soc. , vol.136 , pp. 1213-1220
    • Liu, Y.C.1    Li, Z.X.2
  • 22
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • Gidas, B, Ni, W-M, Nirenberg, L: Symmetry and related properties via the maximum principle. Commun. Math. Phys. 68, 209-243 (1979)
    • (1979) Commun. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.-M.2    Nirenberg, L.3
  • 23
    • 84990576581 scopus 로고
    • Uniqueness and nonuniqueness for positive radial solutions of Δu + f (u, r) = 0
    • Ni, W-M, Nussbaum, RD: Uniqueness and nonuniqueness for positive radial solutions of Δu + f (u, r) = 0. Commun. Pure Appl. Math. 38, 67-108 (1985)
    • (1985) Commun. Pure Appl. Math. , vol.38 , pp. 67-108
    • Ni, W.-M.1    Nussbaum, R.D.2
  • 24
    • 29344442198 scopus 로고
    • The Cayley-Hilbert metric and positive operators
    • Bushell, PJ: The Cayley-Hilbert metric and positive operators. Linear Algebra Appl. 84, 271-280 (1986)
    • (1986) Linear Algebra Appl. , vol.84 , pp. 271-280
    • Bushell, P.J.1
  • 25
    • 84655160882 scopus 로고    scopus 로고
    • Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
    • Zhai, C, Hao, M: Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems. Nonlinear Anal. 75, 2542-2551 (2012)
    • (2012) Nonlinear Anal. , vol.75 , pp. 2542-2551
    • Zhai, C.1    Hao, M.2
  • 26
    • 84863272102 scopus 로고    scopus 로고
    • Fixed point theorems and uniqueness of the periodic solution for the hematopoiesis models
    • doi:10.1155/2012/387193
    • Wu, J, Liu, Y: Fixed point theorems and uniqueness of the periodic solution for the hematopoiesis models. Abstr. Appl. Anal. 2012, Article ID 387193 (2012). doi:10.1155/2012/387193
    • (2012) Abstr. Appl. Anal. , vol.2012 , pp. 387193
    • Wu, J.1    Liu, Y.2
  • 27
    • 77949400479 scopus 로고    scopus 로고
    • Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis
    • Yang, XT: Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis. Appl. Math. J. Chin. Univ. Ser. A 25, 25-34 (2010)
    • (2010) Appl. Math. J. Chin. Univ. Ser. A , vol.25 , pp. 25-34
    • Yang, X.T.1
  • 28
    • 85064802633 scopus 로고    scopus 로고
    • Generalized contractions in partially ordered metric spaces
    • Agarwal, RP, El-Gebelly, MA, O'Regan, D: Generalized contractions in partially ordered metric spaces. Appl. Anal. 87, 109-116 (2008)
    • (2008) Appl. Anal. , vol.87 , pp. 109-116
    • Agarwal, R.P.1    El-Gebelly, M.A.2    O'Regan, D.3
  • 29
    • 0001396368 scopus 로고
    • Coupled fixed points of nonlinear operators with applications
    • Guo, DJ, Lakshmikantham, V: Coupled fixed points of nonlinear operators with applications. Nonlinear Anal. 11, 623-632 (1987)
    • (1987) Nonlinear Anal. , vol.11 , pp. 623-632
    • Guo, D.J.1    Lakshmikantham, V.2
  • 30
    • 84963166650 scopus 로고
    • Fixed points of mixed monotone operators with applications
    • Guo, DJ: Fixed points of mixed monotone operators with applications. Appl. Anal. 31, 215-224 (1988)
    • (1988) Appl. Anal. , vol.31 , pp. 215-224
    • Guo, D.J.1
  • 31
    • 0011510352 scopus 로고
    • Existence and uniqueness of positive fixed points for mixed monotone operators and applications
    • Guo, DJ: Existence and uniqueness of positive fixed points for mixed monotone operators and applications. Appl. Anal. 46, 91-100 (1992)
    • (1992) Appl. Anal. , vol.46 , pp. 91-100
    • Guo, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.