Sentence examples for compatible contraction from inspiring English sources

Suppose: 1. (S,T Acup B rightarrow Acup B) be a cyclic compatible contraction.

In this work, we introduce the concept of a cyclic compatible contraction and prove related fixed point theorems in the generating space of a b-quasi-metric family.

Motivated by the above facts, in this paper, we introduce the concept of a cyclic compatible contraction and prove related fixed point theorems in the generating space of a b-quasi-metric family.

Moreover, if S and T are weakly compatible, then S and T have a unique common fixed point in (Acap B). (S,T Acup B rightarrow Acup B) be a cyclic compatible contraction.

end{cases} Thus the cyclic compatible contraction condition ((S^{2n}x,Sy leqgamma d(S^{2n-1}x,Ty)), for each (ninmathbb{N}) and for each (yin[0,20]), is satisfied for (gamma=frac{1}{3}).

end{cases} Hence the cyclic compatible contraction condition (d(S^{2n}x,Sy leqgamma d(S^{2n-1}x,Ty)), for each (nin mathbb{N}) and for each (yin[0,1]), is satisfied for (gamma=frac{1}{2}).

Thus (mathscr{U}), (mathscr{V}) are Λ-cyclic compatible contractions.

Then S, T are called cyclic compatible contractions.

Suppose 1. (mathscr{U}), (mathscr{V}) are Λ-cyclic compatible contractions,   2.

Suppose: 1. (S,T Acup B rightarrow Acup B) are cyclic compatible contractions.

Thus (mathscr{U}), (mathscr{V}) are ((psi,varphi ))-weak cyclic compatible contractions.