Some aspect of perturbed extended general quasi variational inequality by using auxiliary principle technique

References

• Stampacchia G. Formes bilineaires coercivities sur les ensembles convexes. C R Acad Sci 1964;258:4413–4416.
   Google Scholar
• Giannessi F, Maugeri A. Variational inequalities and network equilibrium problems. New York (NY): Plenum Press; 1995.
   Google Scholar
• Giannessi F, Maugeri A, Pardalos PM. Equilibrium problems: nonsmooth optimization and variational inequality models. Dordrecht: Kluwer Academics Publishers; 2001.
   Google Scholar
• Baiocchi C, Capelo A. Variational and quasi variational inequalities. New York (NY): J. Wiley and Sons; 1984.
   Google Scholar
• Benssousan A, Lions JL. Applications des Inequations Variationelles en Control et en Stochastiques. Paris: Dunod; 1978.
   Google Scholar
• Cottle RW, Giannessi F, Lions JL. Variational inequalities and complementarity problems: theory and applications. New York (NY): J. Wiley; 1980.
   Google Scholar
• Meknani B. The existence and uniqueness of integral solutions to some nonlinear reaction–diffusion system with nonlocal retarded initial conditions. J Taibah Uni Sci. 2020;14(1):569–578.
   Web of Science ®Google Scholar
• Facchinei F, Pang JS. Finite-dimensional variational inequalities and complementarity problems. Vol. 1. New York (NY): Springer Verlag; 2003.
   Google Scholar
• Glowinski R, Lions JL, Tremolieres R. Numerical analysis of variational inequalities. Amsterdam: North-Holland; 1981.
   Google Scholar
• Kravchuk AS, Neittaanmaki PJ. Variational and quasi variational inequalities in mechanics. Dordrecht: Springer; 2007.
   Google Scholar
• Liu Q, Cao A. Recurrent neural network based on projection operator for extended general variational inequalities. IEEE Trans Syst Man Cybers Part B Cyber. 2010;40:928–938.
   Web of Science ®Google Scholar
• Liu Q, Yang Y. Global exponential system of projection neural networks for system of generalized and related minimax problems. Neurocomputing. 2010;73:2069–2076.
   Web of Science ®Google Scholar
• Noor MA. On variational inequalities [PhD thesis]. London: Brunel University; 1975.
   Google Scholar
• Noor MA. An iterative scheme for a class of quasi variational inequalities. J Math Anal Appl. 1985;110:463–468.
   Web of Science ®Google Scholar
• Noor MA. General variational inequalities. Appl Math Lett. 1988;1:119–121.
   Google Scholar
• Noor MA. Quasi variational inequalities. Appl MathLett. 1988;1:367–370.
   Google Scholar
• Lin Z. Essential components of the set of weakly Pareto-Nash equilibrium points for multiobjective generalized games in two different topological spaces. J Optim Theory Appl. 2005;124(2):387–405.
   Web of Science ®Google Scholar
• Khan WA, Bhatti K, Noor KI, et al. A new fourth order Newton-type method for solution of system of nonlinear equations. Appl Math Comput. 2015;270:724–730.
   Web of Science ®Google Scholar
• Noor MA. Generalized multivalued quasi variational inequalities (II). Comput Math Appl. 1998;35:63–78.
   Web of Science ®Google Scholar
• Noor MA. Some algorithms for general monotone mixed variational inequalities. Math Comput Model. 1999;29(7):1–9.
   Web of Science ®Google Scholar
• Noor MA. Some developments in general variational inequalities. Appl Math Comput. 2004;152:199–277.
   Web of Science ®Google Scholar
• Barrett JW, Prigozhin L. A quasi-variational inequality problem arising in the modeling of growing sanpiles. ESAIM Math Model Numer Anal. 2013;47:1133–1165.
   Web of Science ®Google Scholar
• Noor MA. Auxiliary principle technique for extended general variational inequalities. Banach J Math Anal. 2008;2:33–39.
   Web of Science ®Google Scholar
• Baloch MI, Aslam Noor M. Perturbed mixed variational-like inequalities. AIMS Math. 2020;5(3):2153–2162.
   Web of Science ®Google Scholar
• Giannessi F, Maugeri A, Pardalos PM. Equilibrium problems: nonsmooth optimization and variational inequality models. Vol. 58. Berlin: Springer Science & Business Media; 2006.
   Google Scholar
• Manuel R. Transport theory for growing cell populations. J Theo Biol. 1983;103:181–199.
   Web of Science ®Google Scholar
• Noor MA. Some iterative methods for extended general variational inequalities. Albanian J Math. 2008;2:265–275.
   Google Scholar
• Noor MA. Projection iterative methods for extended general variational inequalities. J Appl Math Comput. 2010;32:83–95.
   Google Scholar
• Noor MA. On a class of general variational inequalities. J Adv Math Stud. 2008;1:31–42.
   Google Scholar
• Bryngelsson DK, Lindgren K. A conceptual partial equilibrium model of global agricultural land-use. Available from: https://research.chalmers.se/en/publication/164501.
   Google Scholar
• Boulaara S, Haiour M. The finite element approximation in parabolic quasi-variational inequalities related to impulse control problem with mixed boundary conditions. J Taibah Uni Sci. 2013;7(3):105–113.
   Google Scholar
• Khan ZA. Analysis on some powered integral inequalities with retarded argument and application. J Taibah Uni Sci. 2020;14(1):488–495.
   Web of Science ®Google Scholar
• Bahaa GM, Hamiaz A. Optimal control problem for coupled time-fractional diffusion systems with final observations. J Taibah Uni Sci. 2018;13(1):124–135.
   Web of Science ®Google Scholar
• Bhatti MM, Ellahi R, Zeeshan A, et al. Numerical study of heat transfer and hall current impact on peristaltic propulsion of particle-fluid suspension with compliant wall properties. Mod Phys Lett B. 2019 Dec 20;33(35):1950439.
   Web of Science ®Google Scholar
• Riaz A, Ellahi R, Bhatti MM, et al. Study of heat and mass transfer in the Eyring-Powell model of fluid propagating peristaltically through a rectangular compliant channel. Heat Transf Res. 2019;50(16):1539–1560.
   Web of Science ®Google Scholar
• Palani G, Abbas IA. Free convection MHD flow with thermal radiation from an impulsively started vertical plate. Nonlinear Anal Model Control. 2009;14(1):73–84.
   Web of Science ®Google Scholar
• Marin M. The Lagrange identity method in thermoelectricity of bodies with microstructure. Int J Eng Sci. 1994;32(8):1229–1240.
   Web of Science ®Google Scholar
• Itu C, Öchsner A, Vlase S, et al. Mechanical improved rigidity of composite circular plates through radial ribs. Proc Inst Eng L J Mater Des Appl. 2019;233(8):1585–1593.
   Google Scholar
• Abbass IA, Marin M. Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating. Phys E Low Dimens Syst Nanostruct. 2017;87:254–260.
   Web of Science ®Google Scholar
• Nicolae P. An algorithm for solving nonsmooth variational inequalities arising in frictional quasistatic contact problems. Carpathian J Math. 2008;24(2):110–119.
   Web of Science ®Google Scholar
• Dunn ES. The equilibrium of land-use patterns in agriculture. South Econ J. Oct. 1954;21(2):173–187.
   Google Scholar