Sentence examples for there exist two functions from inspiring English sources

(F5) There exist two functions and such that.

If there exist two functions, defined on and a function being rd-continuous such that.

Under the above conditions, there exist two functions satisfying the system of complex equations: (35).

A mapping is called an -contractive mapping if there exist two functions and such that (3.1).

We say that T is anα-ψ-contractive mapping if there exist two functions and such that.

Suppose that for Further, assume that for each there exist two functions such that for some (2.53).

A multi-valued mapping is called an -contractive mapping if there exist three functions,, and such that (1.1).

There exist three functions (psi,theta,varphi: [ 0,infty ) rightarrow [ 0,infty ) ) such that ψ is continuous and nondecreasing on (( 0,infty ) ), θ is upper semi-continuous from the right on (( 0,infty ) ), φ is lower semi-continuous from the right on (( 0,infty ) ), (theta-varphi

A function with for each, is said to be -pseudo almost automorphic if there exists two functions such that (3.3).

We say T : C → C is an asymptotic nonspreading mapping if there exists two functions α :C → [0, 2) and β : C → [0, k], k < 2, such that.

We say T : C → C is an asymptotic TJ mapping if there exists two functions α : C → [0, 2] and β : C → [0, k], k < 2, such that.