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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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[1] H. Argoubi, B. Samet, C. Vetro, Nonlinear contractions involving simulation function in metric space with a partial order, J. Nonlinear Sci. Appl. 8(6) (2015), 1082-1094. [2] S. Sadiq Basha, Extensions of Banach’s contraction principle, Numer. Funct. Anal. Optim, 31(5) (2010), 569-576. [3] Y. Censor, A. Gibali, S. Reich, S. Sabach, Common solutions to variational inequalities, Set-Valued Var. Anal. 20(2) (2012), 229–247. [4] Y. Censor, A. Gibali, S. Reich, A von Neumann alternating method for finding common solutions tovariational inequalities, Nonlinear Anal. 75(12) (2012), 4596–4603. [5] P. L. Combettes and Z. C. Woodstock, A variational inequality model for the construction of signals from inconsistent nonlinear equations, SIAM J. Imaging Sci. 15(1) (2022), 84–109. [6] K. Fan, Extensions of two fixed point theorems of F. E. Browder, Math. Z. 112(3) (1969), 234-240. [7] F. Khojasteh, S. Shukla, S. Radenovi´c, A new approach to the study of fixed point theorems via simulation functions, Filomat. 29(6) (2015), 1189-1194. [8] D. Kinderlehrer, G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Academic Press, New York (1980). [9] WA. Kirk, S. Reich, P. Veeramani, Proximinal retracts and best proximity pair theorems, Numer. Funct. Anal. Optim. 24 (2003), 851-862. [10] P. Lo′lo′, M. Shabibi, Common best proximity points theorems for H-contractive non-self mappings, Advances in the Theory of Nonlinear Analysis and its Applications. 5(2) (2021), 173-179. [11] P. Lo′lo′, S. M. Vaezpour, J. Esmaily, Common best proximity points theorem for four mappings in metric-type spaces, Fixed Point Theory Appl. 2015(1) (2015), 47. [12] P. Lo′lo′, S. M. Vaezpour, R. Saadati, Common best proximity points results for new proximal Ccontraction mappings, Fixed Point Theory Appl. 2016(1) (2016), 56. [13] P. Lo′lo′, M. Shams, M. De la Sen, Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially order metric space, Nonlinear Anal. Model. Control, 28(3) (2023), 578–596. [14] P. Lo′lo′, M. Shams, S. Radenovi´c, A simulation function approach for optimization by approximate solutions with an application to fractional differential equation, Nonlinear Anal. Model. Control. 29(3) (2024), 543-561. [15] M. A. Noor, K. I. Noor, M. Th. Rassias,General variational inequalities and optimization, Geometry and Noconvex Optimization (Edit. Themistocles M. Rassias), Springer, 2023. [16] M. Patriksson, Nonlinear Programming and Variational Inequality Problems, A Unified Approach. Kluwer Academic, Dordrecht (1999). [17] V. Pragadeeswarar, R. Gopi, M. De la Sen, S. Radenovi´c,Proximally compatible mappings and common best proximity points, Symmetry. 12(3) (2020), 353. [18] V. Sankar Raj, A best proximity point theorem for weakly contractive non-self mappings Nonlinear Anal. 74(14)(2011), 4804-4808. [19] F. Tchier, C. Vetro, F. vetro, Best approximation and variational inequality problems involving a simulation function, Fixed point Theory Appl. 2016(1) (2016), 26. | ||
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