Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications

Topological Space in Finite Geometry with Variables in Integer Modulo \(d\)

2025-06-04T09:21:50+00:00

In this paper, a special class of finite geometry is studied. Lines in the geometry are discussed. The existence of a partially ordered relation leads to the emergence of subgeometries via partial order, which by extension leads to the presence of topological spaces between geometry and its subgeometries, with subgeometries embedded in a topological space.

Different Bounds for an Original Double Integral Involving Concave Functions

2025-09-09T13:19:04+00:00

Establishing bounds for integrals involving concave functions is an important topic in mathematical analysis. In this article, we investigate a class of double integrals whose integrands are given by the ratio of the sum of two concave functions. This form is particularly interesting because of its connection with well-known inequalities of Hilbert integral type. We derive a series of upper and lower bounds using various valuable techniques, leading to elegant and new results. Where appropriate, multiple proofs of the same result are given. Numerical examples are also used to illustrate and support the findings.

Interpolative Reich-Istratescu-type Hybrid Contractions in Modular Metric Spaces

2025-07-04T04:04:57+00:00

In this article, some novel contraction mappings pertaining to modular metric spaces are presented. The conditions that must be met for such operators to possess invariant points are described. Through a nontrivial case, the validity of the derived results is proven.