Sentence examples for compatible contractions from inspiring English sources
Then S, T are called cyclic compatible contractions.
Thus (mathscr{U}), (mathscr{V}) are Λ-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.
We also present a fixed point theorem for a class of Λ-weak cyclic compatible contractions via altering distance functions.
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.
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}).
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.
