Abstract A family of inertial extragradient-type algorithms is proposed for solving convex pseudomonotone variational inequality with fixed-point problems, where the involved mapping fixed point a ρ -demicontractive mapping. Under standard hypotheses, generated iterative sequence achieves strong convergence to common solution and problem. Some special cases sufficient conditions that guarantee ...

Given a bounded open set Ω ⊂ ℝ 2 , we study the relaxation of nonparametric area functional in strict topology BV (Ω; ). and compute it for vortex-type maps, more generally maps W 1,1 (Ω;S 1 ) having finite number topological singularities. We also extend analysis to some specific piecewise constant ), including symmetric triple junction map.

A simplification of a run-relaxed heap, called a relaxed weak queue, is presented. This new priority-queue implementation supports all operations as efficiently as the original: find -min, insert , and decrease (also called decrease-key) in O(1) worst-case time, and delete in O(lg n) worst-case time, n denoting the number of elements stored prior to the operation. These time bounds are valid on...

In this paper, we introduce two Bregman-type algorithmic frameworks to generalize the extragradient and extrapolation methods. With help of relative Lipschitzness Bregman distance tool, iteration properties proposed are analyzed. As applied smooth convex-concave saddle point problems, our theory rediscovers main results in Mokhtari et al. (2020) [14] for wider under weaker assumptions via a con...

Abstract We introduce a new subgradient extragradient algorithm utilizing the concept of set solutions split modified system variational inequality problems (SMSVIP). Our main theorem is weak convergence for such an approximating fixed point problem in real Hilbert space. also apply these results to approximate minimization problem. In last section, we provide example illustrate potential our t...

In this paper, we introduce a general viscosity-type extragradient method for solving the fixed point problem of an asymptotically nonexpansive mapping and variational inclusion with two accretive operators. We obtain strong convergence theorem in setting Banach spaces. terms theorem, establish result (FPP) inequality (VIP) inverse-strongly monotone framework Hilbert Finally, is applied to deal...