Sentence examples for be an almost generalized from inspiring English sources

Let (T:Xtimes Xrightarrow X) be an almost generalized (( psi,theta ))-contractive mapping with respect to (g:Xrightarrow X), and T and g be continuous such that T has the mixed g-monotone property and commutes with g.

Let (T:Xtimes Xrightarrow X) be an almost generalized (( psi,phi,theta ))-contractive mapping with respect to (g:Xrightarrow X), and T and g be continuous such that T has the mixed g-monotone property and commutes with g.

Let T : X → X be an almost generalized ( ψ, φ, L ) -contractive mapping with respect to g : X → X, T is a g-nondecreasing mapping and T ( X ) ⊆ g ( X ).

Let (T:Xrightarrow X) be an almost generalized (( psi,L ) )-contractive mapping with respect to (g:Xrightarrow X), T be a monotone g-nondecreasing mapping and (T ( X ) subseteq g ( X ) ).

Let (T:Xrightarrow X) be an almost generalized (( psi,varphi,L ) )-contractive mapping with respect to (g:Xrightarrow X), T be a monotone g-nondecreasing mapping and (T ( X ) subseteq g ( X ) ).

Let T : X × X ⟶ X be an almost generalized -contractive mapping with respect to g : X ⟶ X, and T and g are continuous such that T has the mixed g-monotone property and commutes with g.

Assume that (f:Xrightarrow X) is an almost generalized (mathcal{C} -contractive mapping.

Let f : X → X be a non-decreasing continuous mapping with respect to ≼. Suppose that f is an almost generalized -contractive mapping.

One can easily check that f is an almost generalized s -contractive mapping with respect to g, with L ≥ 10 3. Thus, all the conditions of Theorem 5 are satisfied and hence f and g have a common fixed point.

We say that a mapping f : X → X is an almost generalized s, a -contractive mapping if there exist L ≥ 0 and two altering distance functions ψ and φ such that ψ ( s d ( f x, f y, a ) ) ≤ ψ ( M a ( x, y ) ) − φ ( M a ( x, y ) ) + L ψ ( N a ( x, y ) ) (3.24).

Let ((X,preceq,d)) be an ordered metric space, and let (f,g) be two self-mappings of X which f is an almost generalized (mathcal{C} -contractive mapping with respeC} -contractive_{1}in X) and define a sequence ({x_{n}}) by (x_{2n}=fx_{2n-1}) and (x_{2n+1}=gx_{2n}) for all (ninmappingN}).