This paper intends to investigate the existence of uncountably many bounded positive solutions of a third order nonlinear neutral delay differential equation d dt { r1(t) d dt [ r2(t) d dt ( x(t)− f(t, x(t− σ)) )]} + d dt [ r1(t) d dt g(t, x(p(t))) ] + d dt h(t, x(q(t))) = l(t, x(η(t))), t ≥ t0 in the following bounded closed and convex set Ω(a, b) = { x(t) ∈ C([t0,+∞),R) : a(t) ≤ x(t) ≤ b(t), ...

This article considers the problem of solving linear algebraic equations form Ax=b among multiagents, which seek a solution by using local information in presence random communication topologies. The equation is solved m agents where each agent only knows subset rows partitioned matrix [A,b]. formulated such that this formulation does not need distribution interconnection graphs. Therefore, fra...

Abstract: This paper provides a quantitative version of the classical image recovery problem to find an -approximate solution of the problem. The rate of asymptotic regularity of the iteration schemas, connected with the problem of image recovery, coincides with the existing optimal and quadratic bounds for Krasnoselskii-Mann iterations. We then provide explicit effective and uniform bounds on ...

In this paper, we study a modified relaxed inertial Mann-type iterative algorithm for solving split monotone variational inclusion problem without prior knowledge of the bounded linear operator norm in real Hilbert spaces. Under some appropriate assumptions on parameters, established strong convergence result proposed algorithm. As applications, special cases general are given. Finally, also gi...