In this paper, we establish certain fixed point theorems in metric spaces with a partial ordering. Presented theorems extend and generalize several existing results in the literature. As application, we use the fixed point theorems obtained in this paper to study existence and uniqueness of solutions for fourth-order two-point boundary value problems for elastic beam equations.
Jleli, M., Cojbasic Rajic, V., Samet, B., Vetro, C. (2012). Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations. JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS, 12(1-2), 175-192 [10.1007/s11784-012-0081-4].
Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations
VETRO, Calogero
2012-01-01
Abstract
In this paper, we establish certain fixed point theorems in metric spaces with a partial ordering. Presented theorems extend and generalize several existing results in the literature. As application, we use the fixed point theorems obtained in this paper to study existence and uniqueness of solutions for fourth-order two-point boundary value problems for elastic beam equations.
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