פרופ' אביב גיבלי

Prof. Aviv Gibali

מוסד עיקרי

האקדמית להנדסה בראודה כרמיאל

Braude College Of Engineering Carmiel

דוא״ל

avivg@braude.ac.il

דיסציפלינות ראשיותMain Disciplines

Mathematics

תחומי מחקר / מילות מפתחKeywords

Image processing, Optimization Theory techniques and industrial applications, Radiation Therapy Treatment Planning, Systems of linear and nonlinear equations and inequalities

פרסומים ויצירות עיקריים / עדכנייםMain / Recent Publications

Li, X., Dong, Q. L., & Gibali, A. (2024). Splitting algorithms for solving state-dependent maximal monotone inclusion problems. Optimization, 1–24.
Francisco J. Aragón-Artacho, Yair Censor, Aviv Gibali, David Torregrosa-Belén, The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning, Applied Mathematics and Computation, Volume 440, 2023
ALAKOYA, T. O., MEWOMO, O. T., & GIBALI, A. (2023). Solving split inverse problems. Carpathian Journal of Mathematics, 39(3), 583–603.
Brooke, M., Censor, Y. and Gibali, A. (2023), Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning. Intl. Trans. in Op. Res., 30: 181-205.
Dey, S., Gibali, A. & Reich, S. Levitin–Polyak well-posedness for split equilibrium problems. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 88 (2023).
Barshad, K., Gibali, A. & Reich, S. The generalized modular string averaging procedure and its applications to iterative methods for solving various nonlinear operator theory problems. Numer Algor (2023).
Gebrie, A.G., Rouhani, B.D. & Gibali, A. Inertial Accelerated Steepest Descent Algorithm for Generalized Split Common Fixed Point Problems. Bull. Iran. Math. Soc. 49, 39 (2023).
Kay Barshad, Aviv Gibali & Simeon Reich (2023) Unrestricted Douglas-Rachford algorithms for solving convex feasibility problems in Hilbert space, Optimization Methods and Software
Tang, Y., & Gibali, A. (2023). Resolvent-Free Method for Solving Monotone Inclusions. Axioms, 12(6), 557.
Uzor, V.A., Alakoya, T.O., Mewomo, O.T. et al. Solving quasimonotone and non-monotone variational inequalities. Math Meth Oper Res 98, 461–498 (2023).
Uzor, V.A., Mewomo, O.T., Alakoya, T.O. et al. Outer approximated projection and contraction method for solving variational inequalities. J Inequal Appl 2023, 141 (2023).
Yan Tang, Honghua Lin, Aviv Gibali, Yeol Je Cho, Convergence analysis and applications of the inertial algorithm solving inclusion problems, Applied Numerical Mathematics, Volume 175, 2022, Pages 1-17
Taddele, G.H., Li, Y., Gibali, A. et al. Linear approximation method for solving split inverse problems and its applications. Adv Comput Math 48, 39 (2022).
Shipra Singh, Aviv Gibali, Xiaolong Qin. Cooperation in traffic network problems via evolutionary split variational inequalities. Journal of Industrial and Management Optimization, 2022, 18(1): 593-611.
Qiao-Li Dong, Lulu Liu & Aviv Gibali (2022) A dynamic simultaneous algorithm for solving split equality fixed point problems, Optimization
Okeke, G.A., Francis, D. & Gibali, A. On fixed point theorems for a class of α-v^-Meir–Keeler-type contraction mapping in modular extended b-metric spaces. J Anal (2022).
Gibali, A., Teller, D. A Real-Time Iterative Projection Scheme for Solving the Common Fixed Point Problem and its Applications. J Math Sci 264, 684–702 (2022).
Duong Viet Thong, Aviv Gibali, Phan Tu Vuong, An explicit algorithm for solving monotone variational inequalities, Applied Numerical Mathematics, Volume 171, 2022, Pages 408-425
Tang, Y, Gibali, A, Cho, YJ. Simple inertial methods for solving split variational inclusions in Banach spaces. Math Meth Appl Sci. 2021; 1- 20.
Thong, D.V., Gibali, A., Staudigl, M. et al. Computing Dynamic User Equilibrium on Large-Scale Networks Without Knowing Global Parameters. Netw Spat Econ (2021).
Tang, Y.; Zhang, Y.; Gibali, A. New Self-Adaptive Inertial-Like Proximal Point Methods for the Split Common Null Point Problem. Symmetry 2021, 13, 2316.
Taiwo, A., Owolabi, A.OE., Jolaoso, L.O. et al. A new approximation scheme for solving various split inverse problems. Afr. Mat. 32, 369–401 (2021).
Singh, S.; Gibali, A.; Reich, S. Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications. Mathematics 2021, 9, 1658.
Rehman, H.u., Kumam, P., Gibali, A. et al. Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications. J Inequal Appl 2021, 63 (2021).
Rehman, H.u., Gibali, A., Kumam, P. et al. Two new extragradient methods for solving equilibrium problems. RACSAM 115, 75 (2021).
Gibali, A.; Kelis, O. An Analytic and Numerical Investigation of a Differential Game. Axioms 2021, 10, 66.
Gibali, A.; Iyiola, O.S.; Akinyemi, L.; Shehu, Y. Projected-Reflected Subgradient-Extragradient Method and Its Real-World Applications. Symmetry 2021, 13, 489.
Gibali, A., Salahuddin Error bounds and gap functions for various variational type problems. RACSAM 115, 123 (2021).
Bonacker, E., Gibali, A. & Küfer, KH. Accelerating Two Projection Methods via Perturbations with Application to Intensity-Modulated Radiation Therapy. Appl Math Optim 83, 881–914 (2021).
Suparatulatorn, R., Cholamjiak, W., Gibali, A. et al. A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems. Adv Differ Equ 2021, 492 (2021).
Suleiman, Y.I., ur Rehman, H., Gibali, A. et al. A self-adaptive extragradient–CQ method for a class of bilevel split equilibrium problem with application to Nash Cournot oligopolistic electricity market models. Comp. Appl. Math. 39, 293 (2020).
Gibali, A., Thong, D.V. A new low-cost double projection method for solving variational inequalities. Optim Eng 21, 1613–1634 (2020).
E. Bonacker, A. Gibali, K.-H. Küfer, Nesterov perturbations and projection methods applied to IMRT, Journal of Nonlinear and Variational Analysis 4 (2020), 63–86.
Gibali, A., Jolaoso, L.O., Mewomo, O.T. et al. Fast and Simple Bregman Projection Methods for Solving Variational Inequalities and Related Problems in Banach Spaces. Results Math 75, 179 (2020).
Gibali, A., Thong, D.V. & Vinh, N.T. Three new iterative methods for solving inclusion problems and related problems. Comp. Appl. Math. 39, 187 (2020).
Taiwo, A., Jolaoso, L. O., Mewomo, O. T., & Gibali, A. (2020). On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping. Journal of Nonlinear and Convex Analysis, 21(6), 1381-1401.
Gibali, A.; Shehu, Y. A Symmetric FBF Method for Solving Monotone Inclusions. Symmetry 2020, 12, 1456.
Shehu, Y., Gibali, A. & Sagratella, S. Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces. J Optim Theory Appl 184, 877–894 (2020).
Shehu, Y.; Gibali, A. Inertial Krasnoselskii–Mann Method in Banach Spaces. Mathematics 2020, 8, 638.
A. Cegielski, A. Gibali, S. Reich and R. Zalas, Outer approximation methods for solving variational inequalities defined over the solution set of a split convex feasibility problem, accepted for publication in Numerical Functional Analysis and Optimization, 2020.
Tang, Y., Gibali, A. Several inertial methods for solving split convex feasibilities and related problems. RACSAM 114, 121 (2020).
Aviv Gibali; Shoham Sabach; Sergey Voldman. Non-Convex Split Feasibility Problems: Models, Algorithms and Theory. Open Journal of Mathematical Optimization, Volume 1 (2020) , article no. 1, 15 p.
F. J. Aragón Artacho, Y. Censor and A. Gibali, The Cyclic Douglas-Rachford algorithm with r-sets-Douglas-Rachford Operators, Optimization Methods and Software 34 (2019), 875–889.
A. Gibali, S. Sagratella and Y. Shehu, Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces, accepted for publication in Journal of Optimization Theory and Applications, 2019.