Sentence examples for mappings and random from inspiring English sources

In this section, we are establishing new random quasi-variational inequalities with random fuzzy mappings and random fixed point theorems.

The problem (3.1) is called the general nonlinear random A-maximal m-relaxed η-accretive equation with random relaxed cocoercive mappings and random fuzzy mappings in Banach spaces.

At the present article, we consider a new class of general nonlinear random A- maximal m-relaxed η-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces.

At the present article, inspired and motivated by recent researches in this field, we shall introduce and study a new class of general nonlinear random A-maximal m-relaxed η-accretive (so called (A, η -accretive [52]) equations with random relaxed cocoercive mappings and random fuzzy mappings in Banach spaces.

We also verify that the approximate solutions obtained by the our proposed algorithm converge to the exact solution of the general nonlinear random A-maximal m-relaxed η-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces.

It is different from other models of abstract fuzzy economy with private information existent in the literature (see [26] or [27]), because the values of random fuzzy constraint mappings and of random fuzzy preference mappings are fuzzy sets over countable complete metric spaces and the theory of the distributions of correspondences is used.

As applications, we prove the existence of the solutions for two types of random quasi-variational inequalities with random fuzzy mappings, and we also obtain random fixed point theorems.

Further, by considering the concepts of random mappings and fuzzy mappings, Haung [39] was first introduced the concept of random fuzzy mapping.

Ahmad and Bazán [18] studied a class of random generalized nonlinear mixed variational inclusions for random fuzzy mappings and constructed an iterative algorithm for solving such random problems.

Furthermore we study various properties of the generalized regularized gap functions in random fuzzy mappings and derive the global error bounds for random generalized variational inequality problems.

We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with -monotonicity in two Hilbert spaces and develop a new algorithm which produces four random iterative sequences.