Sentence examples for mapping it follows from inspiring English sources

Since is upper semicontinuous closed valued mapping, it follows by Lemma 2.7 ii) that.

Since is an upper semicontinuous closed valued mapping, it follows by Lemma 2.7 ii) that is closed.

Since is also Lipschitz mapping, it follows from [12, 15, 16] that has a unique fixed point, that is, for each (1.18).

Since F n is the sum of a compact mapping and a strict contraction mapping, it follows that F n is a condensing mapping.

For each j ≥ 1, since T j is a nonexpansive mapping, it follows that, for each m > 0, the sequence { S m < j T j n i x } is also unbounded, which contradicts the condition (3).

Since we know that (nu_{A-B}(t)=nu _{v_{i}-Tu_{i}}(t)) and T is a proximal nonexpansive mapping, it follows that (nu _{v_{i}-u}(t geqnu_{u_{i}-x}(t geqnu_{u_{i}-x}

"Wyoming," a new play by Catherine Gillet, is a road story of sorts, except the map it follows consists of the twists and turns in the neurological back roads of the human mind.

Also, since for every map, it follows that (iii) (i) and (iv) (ii).

From obtained intensity maps, it follows that light enhancement at the nanoscale in investigated structures should be more efficient in the UV and blue spectral region.

Due to the convexity of the values of (S_{H}^{p}(cdot)) and (L^{-1}) being a linear map, it follows that (L^{-1}circ S_{H}^{p} u)) is convex for every (uin{mathcal{D}} ).

Since is a generalized -contractive map, it follows from Lemma 2.1 that there exists a Cauchy sequence in such that the decreasing sequence converges to 0. Due to the completeness of, there exists some such that Since is lower semicontinuous, we have (2.20).