Sentence examples for multivalued analog of from inspiring English sources

The multivalued analog of Banach's Contraction Principle allows us to find a sequence in such that.

In Section 3, we introduce a multivalued analog of problem (1.1) and prove the existence of solutions for convex set-maps by means of a multivalued version of nonlinear alternative of Leray-Schauder type, whereas the existence result for nonconvex set-valued maps is established by applying Wegrzyk's theorem for generalized contractions.

We now state the multivalued analogs of conditions (E) and (C λ ) in the following manner: Definition 2.7 A multivalued mapping T : K → 2 X is said to satisfy condition (C λ ) for some λ ∈ (0, 1) if for each x, y ∈ K, For μ ≥ 1.

The main motivation for not considering the single-valued analog of a fixed point is that by considering the multivalued analog we can generalize and extend much celebrated work such as that of Nadler [21] and Asad and Kirk [22] in the context of mappings of the type (T CB X rightarrow CB X)).

Such a thing would be the technological analog of AIDS.

Because the natural analog of stupidity is not stiffness.

Presentism is the temporal analog of actualism.

(Analog of Poincaré criterion [107]).

Surface analog of F+-center.

A multivalued mapping (G : C rightrightarrows E ) is said to be a KKM mapping if co(F) subseteqbigcup_{xin F} G x), for every nonempty finite subset F of C. The following concept of the convex hull finite property was first introduced by [12] and used to prove the analog of the KKM lemma in Hadamard spaces.

This inequality is an analog of (17).