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Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations
Journal article   Peer reviewed

Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations

Mohamed Jleli, Vesna Cojbasic Rajic, Bessem Samet and Calogero Vetro
Journal of fixed point theory and applications, Vol.12(1-2), pp.175-192
01/12/2012
DOI: https://doi.org/10.1007/s11784-012-0081-4

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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