Sentence examples for mapping involved in from inspiring English sources

Research along these lines is performed either by relaxing the assumptions on the mappings in the settings (for instance, commonly seen assumptions for the mapping involved in the fixed point problem are nonexpansive or strictly pseudocontractive) or by adding a general system of variational inequalities into the settings.

Dynamic operations mapping, involved in application of folding technique, allows recognition of user defined parameters, such as number of coefficients and coefficient length on implemented array size.

Meanwhile, a certain topological continuity of the mapping involved in the considered variational inequality must be required, such as continuity and semicontinuity.

His research shows that the objective function is continuously differentiable whenever the mapping involved in the VIP is continuously differentiable (see Theorem 3.2 in [22]).

We propose a power penalty method for a mixed nonlinear complementarity problem (MNCP) and show that the solution to the penalty equation converges to that of the MNCP exponentially as the penalty parameter approaches infinity, provided that the mapping involved in the MNCP is both continuous and ξ-monotone.

In this article, we first give a multivalued version of an iteration scheme of Agarwal et al. We use an idea due to Shahzad and Zegeye which removes a "strong condition" on the mapping involved in the iteration scheme and an observation by Song and Cho about the set of fixed points of that mapping.

Identify the waterway on a map, and highlight areas of the map involved in or affected by the issues in dispute (locations of villages, industries, crops, next closest water source, other water sources, country/clan borders, etc).. -How would the water source be affected by different outcomes of the water dispute?

Our results include the cases when the multivalued map involved in the problem has convex as well as non-convex values.

It is now clear that for a suitable choice of maps involved in the formulation of problem (2.14), we can drive many known variational inclusions considered and studied in the literature.

We have studied the existence of solutions for fractional-order differential inclusions supplemented with new nonlocal nonlinear flux type integral boundary conditions for different types of multivalued maps involved in the given problems.

In this paper, the existence of solutions for differential inclusions of fractional order q ∈ ( 1, 2 ] with nonlocal strip conditions is investigated. Our study includes two cases: (i) the multivalued map involved in the problem is not necessarily convex valued, (ii) the multivalued map consists of non-convex values.