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An optimal method for finding common solutions to variational inequality problems via simulation function | ||
| Journal of Hyperstructures | ||
| دوره 15، شماره 1، شهریور 2026، صفحه 99-111 اصل مقاله (1.63 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16397.1066 | ||
| نویسندگان | ||
| Parvaneh Lo'lo'* 1؛ Marzieh Shamsizadeh2؛ Mohamad Reza Heidari Tavani3 | ||
| 1Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Iran | ||
| 2Department of Mathematics Behbahan Khatam Alanbia University of Technology | ||
| 3Department of Mathematics, Ramhormoz Branch, Islamic Azad University, Ramhormoz, Iran | ||
| چکیده | ||
| In this paper, we study the existence and uniqueness of common best proximity points for new types of generalized Z-contraction pairs, generalized proximal contraction pairs, and generalized Z- proximal contraction pairs of non-self mappings defined on a complete metric spaces. Our results improve and generalize some recent defending in the literature. We provide several examples to illustrate the generality of our main results. As an application, we establish sufficient conditions for the existence of unique common solutions to variational inequality problems in Hilbert spaces. | ||
| کلیدواژهها | ||
| simulation functions؛ common best proximity point؛ generalized proximal contraction pair؛ generalized Z- proximal contraction pair؛ P-property؛ variational inequality | ||
| مراجع | ||
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