Hussain, AzharAbbas, MujahidAdeel, MuhammadKanwal, Tanzeela2021-04-132021-04-132020Hussain, A., Abbas, M., Adeel, M., Kanwal, T. (2020). 'Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation', Sahand Communications in Mathematical Analysis, 17(2), pp. 119-138. doi: 10.22130/scma.2019.95982.515.2322-5807 (print)2423-3900 (online)10.22130/scma.2019.95982.515http://hdl.handle.net/2263/79419Berinde introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost Θ- contraction mappings and to prove some best proximity point results for this new class of mappings. As applications, best proximity point and fixed point results for weak single valued Θ-contraction mappings are obtained. Moreover, we give an example to support the results presented herein. An application to a nonlinear differential equation is also provided.enThis work is licensed under a Creative Commons Attribution 4.0 International License.Almost contractionO-ContractionBest proximity pointsDifferential equationArticle