@Article{Abubakar2020, author="J. Abubakar, P. Kumam, H. ur Rehman, A. H. Ibrahim", title="Inertial iterative schemes with variable step sizes for variational inequality problem involving pseudomonotone operator", journal="Mathematics", year="2020", pages="25 pages", volume="8" } @Article{Abubakar2020, author="J. Abubakar, K. Sombut, H. ur Rehman, A. H. Ibrahim", title="An accelerated subgradient extragradient algorithm for strongly pseudomonotone variational inequality problems", journal="Thai J. Math.", year="2020", pages="166--187", volume="18" } @Article{Adeel2019, author="M. Adeel, K. A. Khan, Ð. Pečarić, J. Pečarić", title="Generalization of the Levinson inequality with applications to information theorey", journal="J. Inequal. Appl.", year="2019", pages="19 pages", volume="2019" } @Article{Alvarez2001, author="F. Alvarez, H. Attouch", title="An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping", journal="Set-Valued Anal.", year="2001", pages="3--11", volume="9" } @Book{Bauschke2017, author="H. H. Bauschke, P. L. Combettes", title="Convex Analysis and Monotone Operator Theory in Hilbert Spaces", year="2017", publisher="Springer", address="New York" } @Article{Beck2009, author="A. Beck, M. Teboulle", title="A fast iterative shrinkage-thresholding algorithm for linear inverse problems", journal="SIAM J. Imaging Sci.", year="2009", pages="183--202", volume="2" } @Article{Bianchi1996, author="M. Bianchi, S. Schaible", title="Generalized monotone bifunctions and equilibrium problems", journal="J. Optim. Theory Appl.", year="1996", pages="31--43", volume="90" } @Article{Blum1994, author="E. Blum", title="From optimization and variational inequalities to equilibrium problems", journal="Math. Student", year="1994", pages="123--145", volume="63" } @Article{Combettes2005, author="P. L. Combettes, S. A. Hirstoaga", title="Equilibrium programming in hilbert spaces", journal="J. Nonlinear Convex Anal.", year="2005", pages="117--136", volume="6" } @Article{Dafermos1980, author="S. Dafermos", title="Traffic equilibrium and variational inequalities", journal="Transportation Sci.", year="1980", pages="42--54", volume="14" } @Article{Ferris1997, author="M. C. Ferris, J. S. Pang", title="Engineering and economic applications of complementarity problems", journal="SIAM Rev.", year="1997", pages="669--713", volume="39" } @Article{Flam1996, author="S. D. Flam, A. S. Antipin", title="Equilibrium programming using proximal-like algorithms", journal="Math. Programming", year="1996", pages="29--41", volume="78" } @Book{Giannessi2001, author="F. Giannessi, A. Maugeri, P. M. Pardalos", title="Equilibrium problems: nonsmooth optimization and variational inequality models", year="2001", publisher="Springer", address="New York" } @Article{Hieu2016, author="D. V. Hieu", title="Parallel extragradient-proximal methods for split equilibrium problems", journal="Math. Model. Anal.", year="2016", pages="478--501", volume="21" } @Article{Hieu2017, author="D. V. Hieu", title="New extragradient method for a class of equilibrium problems in Hilbert spaces", journal="Appl. Anal.", year="2017", pages="811--824", volume="97" } @Article{Hieu2018, author="D. V. Hieu", title="Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems", journal="Numer. Algorithms", year="2018", pages="983--1001", volume="77" } @Article{Iusem2003, author="A. N. Iusem, W. Sosa", title="Iterative algorithms for equilibrium problems", journal="Optimization", year="2003", pages="301--316", volume="52" } @Article{Konnov2003, author="I. V. Konnov", title="Application of the proximal point method to nonmonotone equilibrium problems", journal="J. Optim. Theory Appl.", year="2003", pages="317--333", volume="119" } @Book{Konnov2007, author="I. Konnov", title="Equilibrium models and variational inequalities", year="2007", publisher="Elsevier B. V.", address="Amsterdam" } @Book{Krylatov2020, author="A. Krylatov, V. Zakharov, T. Tuovinen", title="Optimization Models and Methods for Equilibrium Traffic Assignment", year="2020", publisher="Springer", address="Cham" } @Article{Li2019, author="X. Li, A. Hussain, M. Adeel, E. Savas", title="Fixed point theorems for $Z_{\theta}$-contraction and applications to nonlinear integral equations", journal="IEEE Access", year="2019", pages="120023--120029", volume="7" } @Article{Ofoedu2006, author="E. Ofoedu", title="Strong convergence theorem for uniformly l-lipschitzian asymptotically pseudocontractive mapping in real Banach space", journal="J. Math. Anal. Appl.", year="2006", pages="722--728", volume="321" } @Article{Polyak1964, author="B.T. Polyak", title="Some methods of speeding up the convergence of iteration methods", journal="U.S.S.R. Comput. Math. Math. Phys.", year="1964", pages="1--17", volume="4" } @Article{Quoc2011, author="T. D. Quoc, P. N. Anh, L. D. Muu", title="Dual extragradient algorithms extended to equilibrium problems", journal="J. Global Optim.", year="2011", pages="139--159", volume="52" } @Article{Takahashi2007, author="S. Takahashi, W. Takahashi", title="Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces", journal="J. Math. Anal. Appl.", year="2007", pages="506--515", volume="331" } @Book{Tiel1984, author="J. V. Tiel", title="Convex analysis: an introductory text", year="1984", publisher="Wiley", address="New York" } @Article{Tran2008, author="D. Q. Tran, M. L. Dung, V. H. Nguyen", title="Extragradient algorithms extended to equilibrium problems", journal="Optimization", year="2008", pages="749--776", volume="57" } @Article{Rehman2019, author="H. ur Rehman, D. Gopal, P. Kumam", title="Generalizations of darbo's fixed point theorem for new condensing operators with application to a functional integral equation", journal="Demonstr. Math.", year="2019", pages="166--182", volume="52" } @Article{Rehman2020, author="H. ur Rehman, P. Kumam, A. B. Abubakar, Y. J. Cho", title="The extragradient algorithm with inertial effects extended to equilibrium problems", journal="Comput. Appl. Math.", year="2020", pages="26 pages", volume="39" } @Article{Rehman2020, author="H. ur Rehman, P. Kumam, I. K. Argyros, N. A. Alreshidi, W. Kumam, W. Jirakitpuwapat", title="A self-adaptive extra-gradient methods for a family of pseudomonotone equilibrium programming with application in different classes of variational inequality problems", journal="Symmetry", year="2020", pages="27 pages", volume="12" } @Article{Rehman2020, author="H. ur Rehman, P. Kumam, I. K. Argyros, W. Deebani, W. Kumam", title="Inertial extra-gradient method for solving a family of strongly pseudomonotone equilibrium problems in real hilbert spaces with application in variational inequality problem", journal="Symmetry", year="2020", pages="24 pages", volume="12" } @Article{Rehman2020, author="H. ur Rehman, P. Kumam, Y. J. Cho, Y. I. Suleiman, W. Kumam", title="Modified popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems", journal="Opti. Methods Soft.", year="2020", pages="1--32", volume="2020" } @Article{Rehman2019, author="H. ur Rehman, P. Kumam, Y. J. Cho, P. Yordsorn", title="Weak convergence of explicit extragradient algorithms for solving equilibirum problems", journal="J. Inequal. Appl.", year="2019", pages="25 pages", volume="1" } @Article{Rehman2019, author="H. ur Rehman, P. Kumam, S. Dhompongsa", title="Existence of tripled fixed points and solution of functional integral equations through a measure of noncompactness", journal="Carpathian J. Math.", year="2019", pages="193--208", volume="35" } @Article{Rehman2020, author="H. ur Rehman, P. Kumam, W. Kumam, M. Shutaywi, W. Jirakitpuwapat", title="The inertial sub-gradient extra-gradient method for a class of pseudo-monotone equilibrium problems", journal="Symmetry", year="2020", pages="25 pages", volume="12" }