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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Article
31 December 2022

Time-dependent Double Obstacle Problem Arising from European Option Pricing with Transaction Costs

Jehan Oh and Namgwang Woo

Kyungpook Mathematical Journal 2022; 62: 615-640

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.

Article
31 December 2022

On Injectivity of Modules via Semisimplicity

Nguyen Thi Thu Ha

Kyungpook Mathematical Journal 2022; 62: 641-655

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-M-injective, soc-injective, Noetherian ring, V-ring

Article
31 December 2022

On Generators in the Category of Actions of Pomonoids on Posets and its Slices

Farideh Farsad and Ali Madanshekaf∗

Kyungpook Mathematical Journal 2022; 62: 657-671

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:

S-poset, generator, projective, slice category, regular injective.

Article
31 December 2022

Accelerated Tseng's Technique to Solve Cayley Inclusion Problem in Hilbert Spaces

Shamshad Husain, Uqba Rafat∗

Kyungpook Mathematical Journal 2022; 62: 673-687

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

Article
31 December 2022

Dual Integrable Representations of Hypergroups

Seyyed Mohammad Tabatabaie∗, Soheila Jokar

Kyungpook Mathematical Journal 2022; 62: 689-697

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

Article
31 December 2022

Numerical Solution of Nonlinear Diffusion in One Dimensional Porous Medium Using Hybrid SOR Method

Jackel Vui Lung Chew∗, Elayaraja Aruchunan, Andang Sunarto et al.

Kyungpook Mathematical Journal 2022; 62: 699-713

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

Article
31 December 2022

h-almost Ricci Solitons on Generalized Sasakian-space-forms

Doddabhadrappla Gowda Prakasha and Amruthalakshmi Malleshrao Ravindranatha,  Sudhakar Kumar Chaubey,  Pundikala Veeresha et al.

Kyungpook Mathematical Journal 2022; 62: 715-728

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

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