Sentence examples for be a continuous cyclic from inspiring English sources

Let T be a continuous cyclic mapping that satisfies the condition of a (G_{d} -cyclic-Kannan contraction.

Let T be a continuous cyclic mapping that satisfies the condition of a (G_{bq} -cyclic-Ciric contraction.

Let T be a continuous cyclic mapping that satisfies the condition of a (G_{q} -cyclic-Kannan contraction.

Let T be a continuous cyclic mapping that satisfies the condition of a (G_{bd} -cyclic-Kannan contraction.

Let T be a continuous cyclic mapping that satisfies the condition d(Tx,Ty leq tbigl[d x,Tx)+d y,Ty bigr], where (tin 0,frac{1}{4})).

Let T be a continuous cyclic mapping that satisfies the condition d(Tx,Ty leq tbigl[d x,Tx)+d y,Ty bigr], where (tin 0,frac{1}{4s})). Then T has a unique fixed point in (Acap B).

So T is a continuous cyclic generalized proximal contraction of the second kind on (Acup B) with (a=frac{1}{9}), (c=d=0), and (frac{a+c+d}{1-c-d} =frac{1}{9}

It is easy to see that T is a continuous cyclic generalized proximal contraction of the first kind on (Acup B).

Let (T: Acup Bto Acup B) be a mapping satisfying the following conditions: (i) (T (A_{0})subseteq B_{0}), (T(B_{0})subseteq A_{0}),   (ii) T is a continuous cyclic generalized proximal contraction of the first kind.

Then there exists ((x, y)in A times B) such that d x, Tx) = d(A, B),qquad d y, Ty) = d(A, B quad textit{and}quad d(Tx, Ty) = d(A, B). (T (A_{0})subseteq B_{0}), (T(B_{0})subseteq A_{0}), T is a continuous cyclic generalized proximal contraction of the second kind.

Let A be approximatively compact with respect to B and B be approximatively compact with respect to A. Let (T: Acup Bto Acup B) be a mapping satisfying the following conditions: (i) (T (A_{0})subseteq B_{0}), (T(B_{0})subseteq A_{0}),   (ii) T is a continuous cyclic generalized proximal contraction of the first kind.