Coincidence point theorems on metric spaces via simulation functions

• Autores: Antonio Francisco Roldán López de Hierro , Erdal Karapinar, Inmaculada Roldán López de Hierro, Juan M. Martínez Moreno
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 275, Nº 1, 2015, págs. 345-355
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.07.011
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• Resumen

  • Due to its possible applications, Fixed Point Theory has become one of the most useful branches of Nonlinear Analysis. In a very recent paper, Khojasteh et al. introduced the notion of simulation function in order to express different contractivity conditions in a unified way, and they obtained some fixed point results. In this paper, we slightlymodify their notion of simulation function and we investigate the existence and uniqueness of coincidence points of two nonlinear operators using this kind of control functions.