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Journal articles on the topic 'Mixed variational'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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1

Noor, Muhammad Aslam. "Mixed variational inequalities." Applied Mathematics Letters 3, no. 2 (1990): 73–75. http://dx.doi.org/10.1016/0893-9659(90)90018-7.

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2

Noor, Muhammad Aslam. "Mixed quasi variational inequalities." Applied Mathematics and Computation 146, no. 2-3 (December 2003): 553–78. http://dx.doi.org/10.1016/s0096-3003(02)00605-7.

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3

Noor, M. A. "Monotone mixed variational inequalities." Applied Mathematics Letters 14, no. 2 (February 2001): 231–36. http://dx.doi.org/10.1016/s0893-9659(00)00141-5.

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4

Iram Bloach, Misbah, and Muhammad Aslam Noor. "Perturbed mixed variational-like inequalities." AIMS Mathematics 5, no. 3 (2020): 2153–62. http://dx.doi.org/10.3934/math.2020143.

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5

Noor, Muhammad Aslam. "Pseudomonotone general mixed variational inequalities." Applied Mathematics and Computation 141, no. 2-3 (September 2003): 529–40. http://dx.doi.org/10.1016/s0096-3003(02)00273-4.

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6

Noor, M. A. "Generalized monotone mixed variational inequalities." Mathematical and Computer Modelling 29, no. 3 (February 1999): 87–93. http://dx.doi.org/10.1016/s0895-7177(99)00032-1.

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7

Ivinskis, K?stutis. "A variational mixed Torelli theorem." Duke Mathematical Journal 74, no. 1 (April 1994): 237–51. http://dx.doi.org/10.1215/s0012-7094-94-07412-7.

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8

Park, Jong Yeoul, and Jae Ug Jeong. "Parametric generalized mixed variational inequalities." Applied Mathematics Letters 17, no. 1 (January 2004): 43–48. http://dx.doi.org/10.1016/s0893-9659(04)90009-2.

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9

Noor, Muhammad Aslam, Khalida Inayat Noor, Saira Zainab, and Eisa Al-Said. "Regularized Mixed Variational-Like Inequalities." Journal of Applied Mathematics 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/863450.

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We use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational-like inequalities. The convergence analysis of these new iterative schemes is considered under some suitable conditions. Some special cases are also discussed. Our method of proofs is very simple as compared with other methods. Our results represent a significant refinement of the previously known results.

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10

Noor, Muhammad Aslam. "Mixed quasi regularized variational inequalities." Mathematical Inequalities & Applications, no. 4 (2006): 761–69. http://dx.doi.org/10.7153/mia-09-67.

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11

Balaj, Mircea, and Dinh The Luc. "On mixed variational relation problems." Computers & Mathematics with Applications 60, no. 9 (November 2010): 2712–22. http://dx.doi.org/10.1016/j.camwa.2010.09.026.

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12

Aslam Noor, Muhammad, Khalida Inayat Noor, and Huma Yaqoob. "On General Mixed Variational Inequalities." Acta Applicandae Mathematicae 110, no. 1 (December 17, 2008): 227–46. http://dx.doi.org/10.1007/s10440-008-9402-4.

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13

Groli, Alessandro, Antonio Marino, and Claudio Saccon. "Variational theorems of mixed type and asymptoticaly linear variational inequalities." Topological Methods in Nonlinear Analysis 12, no. 1 (September 1, 1998): 109. http://dx.doi.org/10.12775/tmna.1998.031.

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14

Noor, Muhammad Aslam. "Parametric Extended General Mixed Variational Inequalities." Journal of Applied Mathematics 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/201947.

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It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without assuming the differentiability of the given data. Since the extended general mixed variational inequalities include extended general variational inequalities, quasi (mixed) variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. In fact, our results can be considered as a significant extension of previously known results.

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15

Barreira, L., and B. Saussol. "Variational principles and mixed multifractal spectra." Transactions of the American Mathematical Society 353, no. 10 (June 6, 2001): 3919–44. http://dx.doi.org/10.1090/s0002-9947-01-02844-6.

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16

Huang, Nan-Jing, Min-Ru Bai, Yeol Je Cho, and Shin Min Kang. "Generalized nonlinear mixed quasi-variational inequalities." Computers & Mathematics with Applications 40, no. 2-3 (July 2000): 205–15. http://dx.doi.org/10.1016/s0898-1221(00)00154-1.

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17

Noor, M. A. "Proximal Methods for Mixed Variational Inequalities." Journal of Optimization Theory and Applications 115, no. 2 (November 2002): 447–52. http://dx.doi.org/10.1023/a:1020848524253.

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18

Aslam Noor, M. "General nonlinear mixed variational-link inequalities." Optimization 37, no. 4 (January 1996): 357–67. http://dx.doi.org/10.1080/02331939608844227.

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19

Han, Qi. "Elliptic variational problems with mixed nonlinearities." Mathematical Methods in the Applied Sciences 43, no. 4 (January 18, 2020): 1675–84. http://dx.doi.org/10.1002/mma.5993.

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20

Noor, Muhammad Aslam, and Eisa A. Al-Said. "On Multivalued General Mixed Variational Inequalities." Mathematical Inequalities & Applications, no. 3 (2001): 455–63. http://dx.doi.org/10.7153/mia-04-40.

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21

Noor, Muhammad Aslam. "Generalized mixed quasi-variational-like inequalities." Applied Mathematics and Computation 156, no. 1 (August 2004): 145–58. http://dx.doi.org/10.1016/j.amc.2003.07.032.

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22

Noor, Muhammad Aslam. "Generalized mixed quasi trifunction variational inequalities." Journal of King Saud University - Science 23, no. 2 (April 2011): 171–74. http://dx.doi.org/10.1016/j.jksus.2010.07.004.

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23

Reddy, B. D. "Mixed variational inequalities arising in elastoplasticity." Nonlinear Analysis: Theory, Methods & Applications 19, no. 11 (December 1992): 1071–89. http://dx.doi.org/10.1016/0362-546x(92)90125-x.

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24

Noor, Muhammad Aslam, and Eisa A. Al-Said. "Algorithms for nonlinear mixed variational inequalities." Korean Journal of Computational & Applied Mathematics 5, no. 2 (May 1998): 271–86. http://dx.doi.org/10.1007/bf03008913.

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25

Wang, Xing, Wei Li, Xue-song Li, and Nan-jing Huang. "Stability for differential mixed variational inequalities." Optimization Letters 8, no. 6 (July 27, 2013): 1873–87. http://dx.doi.org/10.1007/s11590-013-0682-x.

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26

Grad, Sorin-Mihai, and Felipe Lara. "Solving Mixed Variational Inequalities Beyond Convexity." Journal of Optimization Theory and Applications 190, no. 2 (June 26, 2021): 565–80. http://dx.doi.org/10.1007/s10957-021-01860-9.

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AbstractWe show that Malitsky’s recent Golden Ratio Algorithm for solving convex mixed variational inequalities can be employed in a certain nonconvex framework as well, making it probably the first iterative method in the literature for solving generalized convex mixed variational inequalities, and illustrate this result by numerical experiments.

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27

Cartier, J., and M. Peybernes. "Mixed Variational Formulation and Mixed-Hybrid Discretization of the Transport Equation." Transport Theory and Statistical Physics 39, no. 1 (January 13, 2010): 1–46. http://dx.doi.org/10.1080/00411450.2010.529630.

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28

Konnov, I. V., and O. V. Pinyagina. "Solution method for monotone mixed variational inequalities." Lobachevskii Journal of Mathematics 32, no. 4 (October 2011): 446–52. http://dx.doi.org/10.1134/s1995080211040275.

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29

Bin-Mohsin, Bandar, Muhammad Aslam Noor, Khalida Inayat Noor, and Rafia Latif. "Resolvent dynamical systems and mixed variational inequalities." Journal of Nonlinear Sciences and Applications 10, no. 06 (June 7, 2017): 2925–33. http://dx.doi.org/10.22436/jnsa.010.06.07.

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30

Alduncin, G. "Composition duality principles for mixed variational inequalities." Mathematical and Computer Modelling 41, no. 6-7 (March 2005): 639–54. http://dx.doi.org/10.1016/j.mcm.2004.10.022.

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31

Jacobson, Alec, Elif Tosun, Olga Sorkine, and Denis Zorin. "Mixed Finite Elements for Variational Surface Modeling." Computer Graphics Forum 29, no. 5 (September 21, 2010): 1565–74. http://dx.doi.org/10.1111/j.1467-8659.2010.01765.x.

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32

Noor, M. A. "An implicit method for mixed variational inequalities." Applied Mathematics Letters 11, no. 4 (July 1998): 109–13. http://dx.doi.org/10.1016/s0893-9659(98)00066-4.

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33

Mosconi, Marco. "Mixed variational formulations for continua with microstructure." International Journal of Solids and Structures 39, no. 16 (August 2002): 4181–95. http://dx.doi.org/10.1016/s0020-7683(02)00251-2.

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34

Grigorescu, M. "Variational principle for mixed classical–quantum systems." Canadian Journal of Physics 85, no. 10 (October 1, 2007): 1023–34. http://dx.doi.org/10.1139/p07-107.

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An extended variational principle providing the equations of motion for a system consisting of interacting classical, quasiclassical, and quantum components is presented, and applied to the model of bilinear coupling. The relevant dynamical variables are expressed in the form of a quantum state vector that includes the action of the classical subsystem in its phase factor. It is shown that the statistical ensemble of Brownian state vectors for a quantum particle in a classical thermal environment can be described by a density matrix evolving according to a nonlinear quantum Fokker–Planck equation. Exact solutions of this equation are obtained for a two-level system in the limit of high temperatures, considering both stationary and nonstationary initial states. A treatment of the common time shared by the quantum system and its classical environment as a collective variable, rather than as a parameter, is presented in the Appendix. PACS Nos.: 03.65.–w, 03.65.Sq, 05.30.–d, 45.10.Db

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35

Park, Jong-Yeoul, and Jae-Ug Jeong. "PARAMETRIC GENERALIZED MIXED IMPLICIT QUASI-VARIATIONAL INCLUSIONS." Journal of the Korean Mathematical Society 44, no. 4 (July 30, 2007): 889–902. http://dx.doi.org/10.4134/jkms.2007.44.4.889.

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36

Noor, Muhammad Aslam. "Algorithms for General Monotone Mixed Variational Inequalities." Journal of Mathematical Analysis and Applications 229, no. 1 (January 1999): 330–43. http://dx.doi.org/10.1006/jmaa.1998.6178.

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37

Noor, Muhammad Aslam. "Splitting Methods for Pseudomonotone Mixed Variational Inequalities." Journal of Mathematical Analysis and Applications 246, no. 1 (June 2000): 174–88. http://dx.doi.org/10.1006/jmaa.2000.6776.

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38

Mukherjee, R. N., and Ch Purnachandra Rao. "Mixed Type Duality for Multiobjective Variational Problems." Journal of Mathematical Analysis and Applications 252, no. 2 (December 2000): 571–86. http://dx.doi.org/10.1006/jmaa.2000.7000.

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39

Noor, Muhammad Aslam. "Solvability of Multivalued General Mixed Variational Inequalities." Journal of Mathematical Analysis and Applications 261, no. 1 (September 2001): 390–402. http://dx.doi.org/10.1006/jmaa.2001.7533.

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40

Marotti de Sciarra, F. "Mixed Variational Principles in Nondissipative Coupled Thermoelasticity." Advances in Mechanical Engineering 6 (February 12, 2015): 684075. http://dx.doi.org/10.1155/2014/684075.

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41

Konnov, I. V., and E. O. Volotskaya. "Mixed variational inequalities and economic equilibrium problems." Journal of Applied Mathematics 2, no. 6 (2002): 289–314. http://dx.doi.org/10.1155/s1110757x02106012.

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We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakenedP-type assumptions on the cost mapping. They enable us to establish new results for the economic equilibrium problems under consideration.

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42

Aslam Noor, Muhammad. "Iterative schemes for quasimonotone mixed variational inequalities." Optimization 50, no. 1-2 (January 2001): 29–44. http://dx.doi.org/10.1080/02331930108844552.

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43

Otway, Thomas H. "Variational equations on mixed Riemannian–Lorentzian metrics." Journal of Geometry and Physics 58, no. 8 (August 2008): 1043–61. http://dx.doi.org/10.1016/j.geomphys.2008.03.003.

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44

Reissner, E. "On mixed variational formulations in finite elasticity." Acta Mechanica 56, no. 3-4 (September 1985): 117–25. http://dx.doi.org/10.1007/bf01177113.

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45

Matei, Andaluzia. "A mixed hemivariational–variational problem and applications." Computers & Mathematics with Applications 77, no. 11 (June 2019): 2989–3000. http://dx.doi.org/10.1016/j.camwa.2018.08.068.

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46

Fangyun, Ding, Zhang Xin, and Ding Rui. "Boundary mixed variational inequality in friction problem." Applied Mathematics and Mechanics 20, no. 2 (February 1999): 213–24. http://dx.doi.org/10.1007/bf02481902.

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47

Alduncin, Gonzalo. "Composition Duality Methods for Mixed Variational Inclusions." Applied Mathematics and Optimization 52, no. 3 (October 2005): 311–48. http://dx.doi.org/10.1007/s00245-005-0831-4.

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48

Alduncin, Gonzalo. "Optimal Control of Evolution Mixed Variational Inclusions." Applied Mathematics & Optimization 68, no. 3 (September 12, 2013): 445–73. http://dx.doi.org/10.1007/s00245-013-9214-4.

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49

Alduncin, G. "On Gabay's Algorithms for Mixed Variational Inequalities." Applied Mathematics and Optimization 35, no. 1 (January 1, 1997): 21–44. http://dx.doi.org/10.1007/s002459900035.

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50

Sporykhin, A. N., and N. A. Novikov. "Mixed variational principle in finite strain mechanics." Soviet Applied Mechanics 25, no. 1 (January 1989): 90–95. http://dx.doi.org/10.1007/bf00887323.

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