Sentence examples for map g in from inspiring English sources

A map g in (mathsf{Ind},mathcal {C}) lies in the class W if (g=f circ c) with (f in overline{F}) and (c in overline{C}).

Therefore no (I_{g}) given by a weakly unimodal map g in Theorem 1 or Theorem 2 is homeomorphic to (X_{f}).

Suppose (X_{F}) is homeomorphic to (I_{g}), given by a weakly unimodal map g in Theorem 1 or Theorem 2.

A map F in L ∂ u ( U ¯, Y ) is essential if every map G in L ∂ u ( U ¯, Y ) such that G | ∂ U = F | ∂ U has a fixed point in U.

Trustees unanimously approved Map G in October.

Furthermore, the property defined on the underlying operator T depends on the mapping g in convergence analysis.

To obtain the least convex solution of (8) in ([alpha,beta ]), we only have to redefine the mapping G in the obvious way.

Also, in our results the mapping g is not required to be continuous, but the condition is imposed on the mapping g in the results of Sedghi et al. and Hu.

(iv) The iterative scheme (4.1) in Theorem 4.1 is very different from any in [[22], Theorem 3.1], [[2], Theorem 3.1] and [[3], Theorem 3.1] because the mapping J r n in [[22], Theorem 3.1] and the mapping G in [[3], Theorem 3.1] are replaced by the same composite mapping J r n G in the iterative scheme (4.1) of Theorem 4.1.

(iv) The iterative scheme (3.1) in Theorem 3.1 is very different from any in [[22], Theorem 3.1], [[2], Theorem 3.1] and [[3], Theorem 3.1], because the mapping G in [[3], Theorem 3.1] and the mapping J r n in [[22], Theorem 3.1] are replaced by the same composite mapping J r n G in the iterative scheme (3.1) of our Theorem 3.1.

(d) The iterative schemes (4.1) and (4.40) in Theorems 4.1 and 4.2 are different from the iterative schemes in [[30], Theorem 3.2], [[20], Theorem 3.1] and [[29], Theorem 3.1] because the mapping G in [[20], Theorem 3.1] and the mapping J r n in [[29], Theorem 3.1] are replaced by the composite mapping J r n G in Theorems 4.1 and 4.2.