Sentence examples for be a multivalued -contraction from inspiring English sources

Let be a multivalued -contraction.

Let (F: X to X) be a multivalued G-contraction.

Let (X, d) be a complete metric space and T : X → P cl (X) be a multivalued φ-contraction.

Let (X, d) be a compact metric space and T : X → P cl (X) be a multivalued φ-contraction.

Corollary 2.20 Let ( X, d ) be a generalized complete metric space, and let F : X → P cl ( X ) be a multivalued A-contraction with proximinal values.

Let ((S,F,T)) be a complete Menger PM-space with T a t-norm of H-type and (f: S to S) be a multivalued G-contraction.

Let ( X, d ) be a complete metric space, and let T : X → CB ( X ) be a multivalued f-contraction map which commutes with a continuous map f.

Let ((S, F, T)) be a Menger PM-space with T a t-norm of H-type and (f: S to S) be a multivalued G-contraction.

Let (X, d) be a complete metric space and T : X → P cl (X) be a multivalued φ-contraction with (SF) T ≠ ∅.

Let ((S,F,T)) be a complete Menger PM-space with T a t-norm of H-type and (f: S to S) be a multivalued G-contraction with nonempty closed values.

We say that f is a multivalued G-contraction if there exists (kappain 0, 1)) such that (x,y) in E(G), u in fxquad Longrightarrowquad exists v in fymbox (u, v) in E(G), F u, v) (kappa t) geq F x, y) (t), forall t > 0. Let ((S, F, T)) be a Menger PM-space and (f: S to S) be a multivalued G-contraction with respect to some (kappain 0, 1)).