The notion of ordered pair can be defined in the same way as in classical set theory, that is (A,B) is {{A}, {A,B}}.
In this section, we introduce the notion of ordered cyclic weakly ( ψ, φ, L, A, B ) -contractive pair of self-mappings and prove our main results.
In this paper, we introduce the notion of ordered cyclic weakly ( ψ, φ, L, A, B ) -contractions and then derive fixed point and common fixed point theorems for these cyclic contractions in the setup of complete ordered b-metric spaces.
We introduce the notion of ordered cyclic weakly ( ψ, φ, L, A, B ) -contractive mappings, and we establish some fixed and common fixed point results for this class of mappings in complete ordered b-metric spaces.
In this section, we consider the notion of ordered cyclic weakly ( ψ, φ, L, A, B ) -contractions in the setup of ordered partial b-metric spaces and then obtain some common fixed point theorems for these cyclic contractions in the setup of complete ordered partial b-metric spaces.
The pair ( f, g ) is said to be ( A, B ) -weakly increasing if f x ⪯ g f x, for all x ∈ A and g y ⪯ f g y, for all y ∈ B. In [13], Hussain et al. introduced the notion of ordered cyclic weakly ( ψ, φ, L, A, B ) -contractive pair of self-mappings as follows.
In this section, existence of common fixed points of ordered C q -commuting and ordered uniformly C q -commuting mappings is established in hyperbolic ordered metric spaces by utilizing the notions of ordered S-contractions and ordered asymptotically S-nonexpansive mappings.
At a time when many throughout Europe — and even in France — were seduced by the notion of order that Fascist regimes were imposing on an ostensibly fractious populace, Ophüls displayed the emotionally and morally destructive repression on which such pristine displays run.
Moreover, in the light of the vicious circle principle, the notion of order must also be introduced.
We discuss the connection between the notion of order generalised gradient and the Gâteaux derivative of operator-valued functions.
We introduce the notion of order generalised gradient, a generalisation of the notion of subgradient, in the context of operator-valued functions.
