Fixed point theorems in partially ordered metric spaces and applications

Nonlinear Analysis, Theory, Methods and Applications

Volumn 65, Issue 7, 2006, Pages 1379-1393

  Bhaskar, T Gnana ^a   Lakshmikantham, V ^a  

^a Florida Institute of Technology ^*  (United States)

Author keywords

Coupled fixed point; Coupled upper, lower solutions; Partially ordered set; Periodic boundary value problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONFORMAL MAPPING; HARMONIC ANALYSIS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

COUPLED FIXED POINT; COUPLED UPPER; LOWER SOLUTIONS; PARTIALLY ORDERED SET; PERIODIC BOUNDARY VALUE PROBLEM;

THEOREM PROVING;

EID: 33745215115     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.10.017     Document Type: Article

References (11)

1. Gouze J.-L., and Hadeler K.P. Monotone flows and order intervals. Nonlin. World 1 (1994) 23-34
2. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, New York
3. Heikkila S., and Lakshmikantham V. Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations (1994), Marcel Delker, New York
4. Ladde G.S., Lakshmikantham V., and Vatsala A.S. Monotone Iterative Techniques for Nonlinear Differential Equations (1985), Pitman Advanced Publishing Program
5. Lakshmikantham V., Gnana Bhaskar T., and Vasundhara Devi J. Theory of Set Differential Equations in Metric Spaces (2005), Cambridge. Sci Pub.
6. Lakshmikantham V., and Mohapatra R.N. Theory of Fuzzy Differential Equations and Inclusions (2003), Taylor&Francis, London
7. Lakshmikantham V., and Koksal S. Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (2003), Taylor& Francis
8. J.J. Nieto, R.R. Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order (in press)
9. J.J. Nieto, R.R. Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta. Math. Sinica (in press)
10. 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 (2003) 1435-1443
11. Schroder J. Operator Inequalities (1980), Academic Press