Sentence examples for be a complete triangular from inspiring English sources

Theorem 11 Let ( X, M, N, ∗, ⋄ ) be a complete triangular intuitionistic fuzzy metric space.

Let ((X, M, ast)) be a complete triangular fuzzy metric space.

Let ((X,M,ast)) be a complete triangular fuzzy metric space and f be a self-mapping on X.

Let ((X, M, ast)) be a complete triangular fuzzy metric space and (T:X to X) be an α-continuous self-mapping.

Let ((X,M,ast)) be a complete triangular fuzzy metric space and f be a self-mapping on X. Assume that for all (x,yin X) and all (t>0), frac{1}{M(Tx,Ty,t)}leqlambda P^{f} x,y,t)+biglvert Q^{f} x,y,t -lambdabigrvert +LR^{f}(x,y,t -lambdabigrvertambdain (0,1)) and (Lgeq0).

Let ((X,M,ast)) be a complete triangular fuzzy metric space and f be a self-mapping on X. Assume that for all (x,yin X) and all (t>0), frac{1}{M fx,fy,t)}leqlambda P^{f} x,y,t)+biglvert Q^{f} x,y,t -lambdabigrvert holds where (lambdain (0,y,t -lambdabigrvert

Then ((M,X,star)) is a complete triangular fuzzy metric space.

Let ((X, M, ast,preceq)) be a complete partially ordered triangular fuzzy metric space.

If T is an α-admissible mapping and there exists (x_{0}in X_{omega}) such that (alpha(x_{0},Tx_{0} geq1), then T has the property P. Let ((X, M, ast,preceq)) be a complete partially ordered triangular fuzzy metric space.

Theorem 2.16 Let ( X, M, ∗ ) be a complete fuzzy metric space, with M triangular, and '⪯' a partial order on X.

Let ((X, M, T) ) be a complete fuzzy metric space, T be a triangular norm and (f : X rightarrow X).