We report that EphB receptors direct unique axonal behaviors required for mapping the dorsal-ventral (D-V) retinal axis along the lateral-medial (L-M) axis of the superior colliculus (SC). EphBs are expressed in a D-V gradient, ephrin-B1 in a L-M gradient in SC, and ephrin-B3 at its midline. EphBs and ephrin-Bs are expressed in countergradients in retina and SC. Developmental analyses reveal th...

We consider for the first time a stochastic generalized Nash equilibrium problem, i.e., with expected-value cost functions and joint feasibility constraints, under partial-decision information, meaning that agents communicate only some trusted neighbors. propose several distributed algorithms network games aggregative we show being special instances of preconditioned forward–backward splitting ...

In this paper, we introduce viscosity approximation methods based on generalized contractionmappings for finding a set of common fixed points of a countable family of strict pseudo-contractionmappings, the commonelement of the set solutions of a general system of variational inequalities with Lipschitzian and relaxed cocoercive mappings and the set of solutions of a generalizedmixed equilibrium...

Abstract. In this paper, we propose a new alternating direction method for solving cocoercive variational inequality problems VI(f, S) with both linear equality and inequality constraints without the need to add any extra slack variables. We focus on the underlying function f does not have an explicit form and only its function values can be employed in the new method. Under the condition that ...

We introduce an iterative algorithm for finding a common element of the set of solutions of a system of mixed equilibrium problems, the set of solutions of a general system of variational inequalities for Lipschitz continuous and relaxed cocoercive mappings, the set of common fixed points for nonexpansive semigroups, and the set of common fixed points for an infinite family of strictly pseudoco...

We propose new iterative schemes for finding the common element of the set of common fixed points of countable family of nonexpansive mappings, the set of solutions of the variational inequality problem for relaxed cocoercive and Lipschitz continuous, the set of solutions of system of variational inclusions problem, and the set of solutions of equilibrium problems in a real Hilbert space by usi...

We introduce an iterative scheme by the viscosity approximation to find the set of solutions of the generalized system of relaxed cocoercive quasivariational inclusions and the set of common fixed points of an infinite family of strictly pseudocontractive mappings problems in Hilbert spaces. We suggest and analyze an iterative scheme under some appropriate conditions imposed on the parameters; ...

Suppose G = (V,E) is a graph and p ≥ 2q are positive integers. A (p,q)-coloring of G is a mapping φ : V → {0,1, . . . ,p − 1} such that for any edge xy of G, q ≤ |φ(x) − φ(y)| ≤ p − q. A color-list is a mapping L : V → P({0,1, . . . ,p − 1}) which assigns to each vertex v a set L(v) of permissible colors. An L-(p,q)-coloring of G is a (p,q)-coloring φ of G such that for each vertex v, φ(v) ∈ L(...

Displacement mapping is a powerful technique for adding detail to three dimensional objects and scenes. While bump mapping gives the appearance of increased surface complexity, displacement mapping actually adds surface complexity resulting in correct silhouettes and no parallax errors. This paper presents the background to displacement mapping, current hardware implementations and how to use t...