12 papers
Structure-Preserving Numerical Schemes for Two-Stage Local and Nonlocal Dispersal Systems
Markjoe O. Uba
We construct and analyze structure-preserving numerical schemes for a two-stage local--nonlocal dispersal system. On general bounded connected smooth habitats, we prove fixed- s…
Regularized Subjective-Surface Flow with Monotone Reaction: Viscosity Well-Posedness and Convergence
Markjoe O. Uba
We study the vanishing-regularization limit of the regularized subjective-surface model introduced for touching and dividing cell nuclei and previously analyzed for fixed positive…
Regularized Subjective-Surface Flow with Monotone Reaction: Global Classical Well-Posedness and Stability
Markjoe O. Uba
Touching and dividing cell nuclei may appear as connected structures in microscopy images, making it difficult to distinguish neighboring nuclei during segmentation. We introduce a…
Strong convergence for countable generalized Bregman nonexpansive-type mappings with equilibrium and variational inequality constraints
Markjoe O. Uba
We develop a Legendre--Bregman outer-approximation method for a common-solution problem in a uniformly smooth and uniformly convex Banach space. The constraint system consists of c…
Perturbation-resilient inertial Krasnosel'skii-type hybrid retractions for generalized nonexpansive mappings
Markjoe O. Uba
Let $\E$ be a uniformly smooth and uniformly convex real Banach space. We study an inertial hybrid retraction method for a countable sequence of mappings satisfying the NST-conditi…
A viscosity-Halpern hybrid scheme for countable families of equilibrium and variational inequality problems
Markjoe O. Uba
Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . We introduce a viscosity-Halpern hybrid pro…
A hybrid method for countable equilibrium, variational inequality and maximal monotone inclusion problems with fixed point constraints
Markjoe O. Uba
Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . We introduce a hybrid projection method for…
A hybrid scheme for fixed points of a countable family of generalized non-expansive-type maps and generalized mixed equilibrium problems
Peter U. Nwokoro, Maria A. Onyido, Markjoe O. Uba +1
Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . This article presents a h…
Asymptotic limits of the principal spectrum point of a nonlocal dispersal cooperative system and application to a two-stage structured population model
Maria A. Onyido, Rachidi B. Salako, Markjoe O. Uba +1
This work examines the limits of the principal spectrum point, , of a nonlocal dispersal cooperative system with respect to the dispersal rates. In particular, we provide prec…
New Method for Computing zeros of monotone maps in Lebesgue spaces with applications to integral equations, fixed points, optimization, and variational inequality problems
Abdulmalik U. Bello, Markjoe O. Uba, Michael T. Omojola +2
Let and be a bounded monotone map such that . In this paper, we introduce and study an algorithm for approximating zeros of …
A hybrid scheme for fixed points of a countable family of generalized nonexpansive-type maps and finite families of variational inequality and equilibrium problems, with applications
Markjoe O. Uba, Maria A. Onyido, Cyril I. Udeani +1
Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . We present a novel hybrid method for finding…
4D Segmentation Algorithm with application to 3D+time Image Segmentation
Markjoe Olunna Uba, Karol Mikula, Seol Ah Park
In this paper, we introduce and study a novel segmentation method for 4D images based on surface evolution governed by a nonlinear partial differential equation, the generalized su…