Optimization and Variational Analysis

This research presents a comprehensive investigation into the properties and applications of Mann’s iterative scheme within the specialized framework of convex rectangular ‐metric space. The primary objective is to establish novel fixed point theorems under these conditions. A key advantage of employing Mann’s iterati…

This article studies approximations to the set of trajectories, attainable sets and integral funnel of a control system described by an ordinary differential equation. It is assumed that the equation is nonlinear with respect to the phase state vector and affine with respect to the control vector. The system includes…

In this paper, we propose a new iterative scheme involving three multivalued mappings in Kohlenbach hyperbolic spaces. Strong and ∆-convergence theorems are established for approximating common fixed points of nonexpansive multivalued mappings under suitable conditions. A numerical example is also presented to illustr…

This paper develops a systematic common fixed point theory within the framework of suprametric spaces, a recently introduced generalization of metric spaces that accommodates a broader class of distance structures through a nonlinear relaxation of the triangle inequality. We establish several common fixed point theore…

Abstract In this manuscript, we introduce a new class of proximal contractions, termed a modified proximal contraction, to establish coincidence and best proximity point results supported by illustrative examples. These results are then specialized to recover existing best proximity point theorems and further reduced…

• MAHPEYKER ÖZTÜRK
• MUDASIR YOUNIS MUDASIR YOUNIS

No abstract yet.

We obtain several new results on the simultaneous packing and covering constant $γ(\mathcal{X})$ of a Banach space $\mathcal{X}$, and its lattice counterpart $γ^*(\mathcal{X})$. These constants measure how efficient a (lattice) packing by unit balls in $\mathcal{X}$ can be, the optimal case being that $γ(\mathcal{X})=…

We obtain several new results on the simultaneous packing and covering constant $γ(\mathcal{X})$ of a Banach space $\mathcal{X}$, and its lattice counterpart $γ^*(\mathcal{X})$. These constants measure how efficient a (lattice) packing by unit balls in $\mathcal{X}$ can be, the optimal case being that $γ(\mathcal{X})=…

Branch-and-bound algorithms are among the most effective methods for single-objective discrete optimization, while their extension to multi-objective settings has been investigated only recently. In Multi-Objective Branch and Bound (MOBB) methods, the definition of effective bounding strategies remains a key challenge…

We investigate an implicit iterative scheme for approximating common fixed points of one-parameter semigroups generated by Lipschitzian hemi-contractive and α-hemi-contractive mappings on closed convex subsets of Banach spaces. Under suitable conditions on the control sequences, we establish weak convergence of the pr…

We investigate an implicit iterative scheme for approximating common fixed points of one-parameter semigroups generated by Lipschitzian hemi-contractive and α-hemi-contractive mappings on closed convex subsets of Banach spaces. Under suitable conditions on the control sequences, we establish weak convergence of the pr…

In this paper, we obtain fixed point results in Hausdorff topological spaces using the notion of τ-distance. We introduce a new type of contraction, called a P-contraction, defined on topological spaces equipped with a τ-distance, and establish a fixed point theorem for self-maps satisfying this condition. Assuming th…