We examine linear, bounded, fixed operators as channels between continuous input functions and continuous output functions. The time-frequency waveform channel and continuous space channel are both related to an abstract operator viewpoint of communication channels. The properties of the operator required in order to allow valid capacity estimation are examined, and the modelling of noise in a ...

In this paper we propose and studied a new composite iterative scheme with certain control con-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the co...

In this paper, we present a new vision for studying ${F}$-open, ${F}$-continuous, and ${F}$-irresolute function in $(L,M)$-fuzzy topological spaces based on the implication operation and $(L,M)$-fuzzy ${F}$-open operator cite{2}. These kinds of functions are generalized with their elementary properties to $(L,M)$-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic ...

and Applied Analysis 3 Krein-Rutman theorem see 34 , we infer that if r B / 0, then there exist φ ∈ P \ {θ} and g∗ ∈ P ∗ \ {θ} such that Bφ r B φ, B∗g∗ r B g∗. 2.1 For a given constant δ > 0, set P ( g∗, δ ) { x ∈ P, g∗ x ≥ δ‖x‖, 2.2 then P g∗, δ is also a cone in E. Definition 2.1 see 30 . Let D ⊂ E and F : D → E a nonlinear operator. F is said to be quasiadditive on lattice, if there exists y...