carpathian_2023_39_3_717_726In this article, we consider 
an 
-dimensional closed Riemannian manifold whose metric 
evolves by the abstract geometric flow and the geometric constant 
as the lowest constant such that the equation
![\[- \Delta u + a u \log u + b S u = \lambda_a^b u\]](https://www.carpathian.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-8e330d41f739b7fc9debb0f23d082f75_l3.svg "Rendered by QuickLaTeX.com")
with 
has a positive solution, where 
and 
are two real constants. Here we find the evolution formula for on evolving along the abstract geometric flow.
Two-step inertial viscosity subgradient extragradient algorithm with self-adaptive step sizes for solving pseudomonotone equilibrium problems
On a wave equation with mixed dynamic boundary conditions
Algorithmic and Analytical Approach for a System of Generalized Multi-valued Resolvent Equations – Part II: Algorithms and Convergence
Fixed points vs best proximity points and a contraction map sets with an external factor
Semi-exponential Post-Widder operators
Optimal solutions of minimization problems via new best proximity point results on quasi metric spaces
On the geometry of diffeological vector pseudobundles and infinite dimensional vector bundles: automorphisms, connections and covariant derivatives
Naturally ordered transformation semigroups preserving an equivalence relation on an invariant set
Existence and stability results for multi-term fractional delay differential equations equipped with nonlocal multi-point and multi-strip boundary conditions
The approximate solution of the general split variational inequality problem by intermixed iteration
