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FIXED POINT THEOREMS IN ORDERED METRIC SPACES AND APPLICATIONS TO NONLINEAR BOUNDARY VALUE PROBLEMS.
- Source :
-
Fixed Point Theory . 2019, Vol. 20 Issue 1, p349-364. 16p. - Publication Year :
- 2019
-
Abstract
- In this paper, we extend the concept of mixed monotone mappings and then we consider certain fixed point theorems for a pair of mappings in metric spaces with a partial ordering. As an application, we study existence of solutions for the following fourth-order two-point boundary value problems for elastic beam equations:... where f is a continuous mapping of [0, 1]×R×R into R. Moreover, using these fixed point theorems, we prove several existence results for the solutions of various boundary value problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15835022
- Volume :
- 20
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Fixed Point Theory
- Publication Type :
- Academic Journal
- Accession number :
- 138601981
- Full Text :
- https://doi.org/10.24193/fpt-ro.2019.1.23