Sentence examples for mapping we consider from inspiring English sources

For a bifunction and a nonlinear mapping, we consider the following equilibrium problem: (1.2).

The mapping we consider is multivalued and the contraction inequality is of integral type.

For the uniqueness of a fixed point of a generalized α-Geraghty contractive mapping, we consider the following hypothesis.

To show that is a continuous mapping, we consider and their corresponding images and It is straightforward to see that satisfies (3.30).

For the uniqueness of a fixed point of a generalized α-Geraghty contraction type mapping, we consider the following hypothesis: (K) For all x ≠ y ∈ X, there exists v ∈ X such that α ( x, v ) ≥ 1, α ( y, v ) ≥ 1 and α ( v, T v ) ≥ 1.  .

By using this mapping, we consider an iterative method for finding a common element of the set of a generalized equilibrium problem of the set of solution to a system of variational inequalities, and of the set of fixed points of an infinite family of strict pseudo-contractions.

For such mapping, we considered only the state in which the first author was bound.

In the case of 2-D maps, we consider the Beddington, Free, and Lawton and Udwadia and Raju maps.

In this study and for a variety of maps, we consider a switching strategy that alternates between two undesirable dynamics that yields a stable desirable dynamic behavior.

We do not assume any compact assumptions on the spaces and convexity assumptions on the maps we consider.

In association with the vector optimization problem (VP) of set-valued maps, we consider the following scalar optimization problem with set-valued map : (SPx003c6).