Abstract
AbstractIn the setting of real ordered positive Hilbert spaces, a nonlinear fuzzy ordered variational inclusion problem with its corresponding nonlinear fuzzy ordered resolvent equation problem involving XOR operation has been recommended and solved by employing an iterative algorithm. We establish the equivalence between nonlinear fuzzy ordered variational inclusion problem and nonlinear fuzzy ordered resolvent equation problem. The existence and convergence analysis of the solution of nonlinear fuzzy ordered variational inclusion problem involving XOR operation has been substantiated by applying a new resolvent operator method with XOR operation technique. The iterative algorithm and results demonstrated in this article have witnessed a significant improvement in many previously known results of this domain.
Funder
Deanship of Scientific Research, Qassim University, Saudi Arabia
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference36 articles.
1. Amann, H.: On the number of solutions of nonlinear equations in ordered Banach spaces. J. Funct. Anal. 11, 346–384 (1972)
2. Farajzadeh, A.P., Amini-Harandi, A., Kazmi, K.R.: Existence of solutions to generalized vector variational-like inequalities. J. Optim. Theory Appl. 146(1), 95–104 (2010)
3. Farajzadeh, A.P., Noor, M.A., Noor, K.I.: Vector nonsmooth variational-like inequalities and optimization problems. Nonlinear Anal. 71(7–8), 3471–3476 (2010)
4. Farajzadeh, A.P., Amini-Harandi, A., Noor, M.A.: On the generalized vector f-implicit complementarity problems and vector F-implicit variational inequality problems. Math. Commun. 12(2007), 203–211 (2007)
5. Hassouni, A., Moudafi, A.: A perturbed algorithms for variational inclusions. J. Math. Anal. Appl. 185(3), 706–712 (1994)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献