In this paper, we investigate a time-dependent double obstacle problem associated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a

**Key Words:**

double obstacle problem, parabolic partial differential equation, time-dependent obstacle, free boundary, option pricing.

A right R-module N is called pseudo semisimple-M-injective if for any monomorphism from every semisimple submodule of M to N, can be extended to a homomorphism from...

**Key Words:**

semisimple-

Where S is a pomonoid, let Pos-S be the category of S-posets and S-poset maps. We start off by characterizing the pomonoids S for which all projectives ...

**Key Words:**

In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approxi...

**Key Words:**

Tseng’s technique, Cayley inclusion problem, Cayley operator, fixed point problem

In this paper, we study dual integrable representations of locally compact commutative hypergroups and give a sufficient and necessary condition for a dual integrable representation to have an admissible vector.

**Key Words:**

locally compact hypergroup, locally compact group, dual integrable representation, left regular representation, frame

This paper proposes a hybrid successive over-relaxation iterative method for the numerical solution of a nonlinear diffusion in a one-dimensional porous medium. The considered mathematical model is discretized using a computational complexity reducti...

**Key Words:**

porous medium equation, half-sweep finite difference, Newton method, explicit group, modified successive over-relaxation method

The aim of this article is to study the h-almost Ricci solitons and h-almost gradient Ricci solitons on generalized Sasakian-space-forms. First, we consider h-almost Ricci soliton with the potential ...

**Key Words:**

Generalized Sasakian-space-form, h-almost Ricci soliton, h-almost gradient Ricci soliton, Three-dimensional quasi-Sasakian manifold, Scalar curvature