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Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations |
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| Authors: | Mohamed Jleli Vesna Čojbašić Rajić Bessem Samet Calogero Vetro |
| Institution: | 1. Department of Mathematics, King Saud University, Riyath, Saudi Arabia 2. Faculty of Economics, University of Belgrade, Kameni?ka 6, 11000, Beograd, Serbia 3. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi, 34, 90123, Palermo, Italy |
| 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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