At the present article, we consider a new class of general nonlinear random Amaximal m-relaxed h-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces. By using the resolvent mapping technique for A-maximal m-relaxed h-accretive mappings due to Lan et al. and Chang’s lemma, we construct a new iterative algorithm with mixed erro...

In this paper, we consider and study a system of generalized variational inclusions involving Cayley operators an XOR-operation in q-uniformly smooth Banach spaces. To obtain the solution XOR-operation, use some properties as well XOR-operation. We also discuss convergence criterion. support our main result, provide example.

An inertial algorithm for solving Hammerstein equations is presented. This obtained as a consequence of new proposed and studied nonlinear involving operators that are m-accretive. Some strong convergence theorems proved in real Banach spaces uniformly smooth. Furthermore, comparisons the numerical performance our algorithms with some recent important

In this paper, we prove strong convergence of the Mann iteration of an λ-strict pseudocontraction T in a real q−uniformly smooth Banach space. The results presented in this paper are interesting extensions and improvements upon those known ones of Marino and Xu [J. Math. Anal. Appl. 324(2007) 336-349], and are development and complementariness of the corresponding ones of Chai and Song [Fixed P...

In the context of testing the speci cation of a nonlinear parametric regression function, we study the power of speci cation tests using the minimax approach. We determine the maximum rate at which a set of smooth local alternatives can approach the parametric model while ensuring consistency of a test uniformly against any alternative in this set. We show that a smooth nonparametric testing pr...

A class of nonlinear parabolic systems with quadratic nonlinearities in the gradient (the case of two spatial variables) is considered. It is assumed that the elliptic operator of the system has a variational structure. The behavior of a smooth on a time interval [0, T ) solution to the Cauchy-Neumann problem is studied. For the situation when the “local energies” of the solution are uniformly ...

In this paper, we propose a new hybrid subgradient algorithm for finding common point in the set of solutions pseudomonotone equilibrium problem and fixed points relatively nonexpansive mapping real uniformly convex smooth Banach spaces. Weak strong convergence iterative scheme are established. Our results generalizes improves several recent literature.

We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The functional is extended to the space of measures. obtained derivatives contain integrals on lower-dimensional manifolds. proofs utilize pre-conjugate, which an continuous functions. Applications optimal control problems are given.