Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces

A subgradient extragradient algorithm for solving split equilibrium and fixed point problems in reflexive Banach spaces

“…(ii) f * is Gâteaux differentiable, intdom f * = dom f * = / 0. For more on Lengendre function, we refer to [21,22] and the references therein.…”

“…It is worth mentioning that the bifunction D f : dom f × intdom f → (−∞, +∞] defined above is not a distance in the usual sense. We refer the readers to [22,23] for more properties of the Bregman distance.…”

A Strong Convergence Theorem for Split Null Point Problem and Generalized Mixed Equilibrium Problem in Real Hilbert Spaces

“…The GMEP includes as special cases, minimization problem, variational inequality problem, fixed point problem, nash equilibrium etc. GMEP (2) and these special cases have been studied in Hilbert, Banach, Hadamard and p-uniformly convex metric spaces , see [11][12][13][14][15][16][17][18][19][20][21].…”

Two modifications of the inertial Tseng extragradient method with self-adaptive step size for solving monotone variational inequality problems

“…Variational inequality theory is an important tool in economics, engineering, mathematical programming, transportation, and in other fields (see, for example, [1][2][3][4][5][6][7][8]). Many numerical methods have been constructed for solving variational inequalities and related optimization problems, see [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] and references therein.…”