Thai Journal of Mathematics

Thai Journal of Mathematics (TJM) is a peer-reviewed, open access international journal publishing original research works of high standard in all areas of pure and applied mathematics.
Publication Frequency
TJM publishes one volume per year. Usually a volume consists of three issues with about 200-400 pages each.
From 2020 onwards, the journal is published every three months, consisting of four issues per year (March, June, September, and December). All manuscripts are refereed under the same standards as those used by the finest-quality printed mathematical journals. Accepted papers will be published online in their final forms using the TJM template and will be published in four issues annually.
Announcement GIFs | Tenor

Article Processing Charge
From the submission in February 2022 onwards, each article accepted for publication will be subject to an Article Processing Charge to support the production of Thai Journal of Mathematics. This fee goes toward manuscript processing, professional typesetting, and copyediting, as well as online hosting, long-term preservation and comprehensive promotion to potential readers.
The current fees  are given below:

  • 550 USD
  • University cepmart members 7,000 THB
  • University non-cepmart members 10,000 THB
Thai J Math.
is covered Abstracted, Reviewed and Indexeded in:
Emerging Sources Citation Index (ESCI) [Web of Science by © 2018 Clarivate Analytics]
Mathematical Reviews, MathSciNet,
Zentralblatt MATH Database,
Google Scholar and
Scopus [Elsevier]

SCImago Journal & Country Rank esci_logo_150
The SJR indicator measures the scientific influence of the average article in a journal, it expresses how central to the global scientific discussion an average article of the journal is. Cites per Doc. (2y) measures the scientific impact of an average article published in the journal, it is computed using the same formula that journal impact factor ™ (Thomson Reuters).

Call for Papers: Thai Journal of Mathematics (TJM) is pleased to announce the call for papers for the following special issues:


Special Issue: Discrete and Computational Geometry, Graphs, and Games

This special issue is dedicated to the topics of the recent conference held online on September 3-5, 2021: Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCG^3 2020+1).

The submission of the papers in this special issue includes but is not limited to:
  • Discrete Geometry,
  • Computational Geometry,
  • Graph Theory,
  • Graph Algorithms,
  • Complexity,
  • Winning Strategies of Games and Puzzles.
The submission is not limited to the papers presented at the conference. Papers will be strictly refereed in keeping with the standards of TJM. There is no page charge, and the published papers will be available on the website of TJM.

Instruction for Authors: Please follow the instructions for authors by the following link:

Submission Deadline: The submission deadline is postponed from the information announced in the conference. The new submission deadline is January 31, 2022.

Guest Editors:
Guest co-Editor:

  • Hiro ITO (The Univ. of Electro-Communications),
  • Toshinori SAKAI (Tokai Univ.),
  • Wanida HEMAKUL (Chulalongkorn University).

Managing Editor: Supanut CHAIDEE (Chiang Mai University).

Special Issue: Memory of Professor Charles E. Chidume
A special issue of Thai Journal of Mathematics –Volume 20; No.4/2022 – will be dedicated to the memory of late Professor Charles Ejike Chidume (1947-2021).
Brief: Professor Charles E. Chidume was born on the 11th of August, 1947. He passed away on the 7th of October, 2021 at the age of 74, after a brief illness. His former students, colleagues and collaborators are invited to submit a manuscript for consideration for publication in this special issue dedicated to his memory.
Submission: All authors should follow the author guideline here before submitting their manuscripts and choose "SI: Memory of Professor Charles E. Chidume" when submitting the manuscript.
Submission deadline: June 2022.
Expected date of Acceptance: July 2022.
Expected date of Publication: September, 2022.
Special Offer:
Authors contributing to this special edition will receive a 20% discount. Normally, Each article accepted for publication is subject to an Article Processing Charge of USD $550.
Invited Guest Editors:
  1. Professor Simeon Reich ( Technion - Israel Institute of Technology.
  2. Professor Habtu Zegeye Hailu ( Botswana International University of Science and Technology.
  3. Professor Eric Uwadiegwu Ofoedu (  Nnamdi Azikiwe University, Awka, Anambra State, Nigeria.
  4. Professor Bashir Ali ( Bayero University Kano, Nigeria.
  5. Professor Yekini Shehu (  Zhejiang Normal University, Jinhua, China.
  6. Dr. Abubakar Adamu ( Center of Excellence in Theoretical and Computational Science, King Mongkut’s University of Technology Thonburi, Bangkok, Thailand.




Vol 20, No 2 (2022): June

Table of Contents


On Lupas-Jain-Beta Operators PDF
Prashantkumar Gordhanbhai Patel, Dilek Soylemez, Ovgu Gurel-Yilmaz 511-525
Applications of Multivalued $\mathcal{F}_\delta$-Contraction with Stability Results PDF
Gopal Meena, Deepak Singh, Mudasir Younis, Vishal Joshi 527-544
Semi-Analytical Solutions of Batch System Population Balance Models PDF
Zehra Pinar 545-555
A Class of Close-to-Convex Functions Satisfying a Differential Inequality PDF
Pardeep Kaur, Sukhwinder Singh Billing 557-562
Common Fixed Point Result for $(\alpha,\beta)$-orbital-cyclic Admissible Triplet in Extended $b$-metric Spaces PDF
Nehjamang Haokip, Nilakshi Goswami, Binod Chandra Tripathy 563-576
Existence of Solutions of Set-valued Strong Vector Equilibrium Problems PDF
Tirth Ram, Parshotam Lal 577-588
Best Proximity Point Results in Generalized Metric Spaces PDF
Naeem Saleem, Mujahid Abbas, Sadia Farooq 589-603
Quasi-homeomorphisms between ordered topological spaces PDF
Abdelwaheb Mhemdi 605-610
Generalized Ciric's Pairs of Maps and Some Systems of Nonlinear Integral Equations PDF
José R Morales, Edixon M Rojas 611-628
On Asymptotically Ideal Invariant Equivalence of Double Sequences PDF
Erdinç Dündar, Uğur Ulusu, Fatih Nuray 629-637
Common Fixed Point Theorems for Expansive Type Mappings in Cone Heptagonal Metric Spaces PDF
Gizachew Haile, Kidane Koyas, Aynalem Girma 639-652
The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid PDF
Nasreen Kausar, Muhammad Munir, Praveen Agarwal, Kalaichelvan Kalaiarasi 653-667
A Model of Hepatitis C and Blood Pressure via Nano Topological Spaces PDF
A.A. NASEF, A.A.El Atik, G.K. REVATHI 669-677
Non-Polynomial Cubic Spline Method for Solving Singularly Perturbed Delay Reaction-Diusion Equations PDF
Bekele Badada Tirfesa, Gemechis File Duressa, Habtamu Garoma Debela 679-692
Simple Analytical Formulas for Pricing and Hedging Moment Swaps PDF
Kittisak Chumpong, Khamron Mekchay, Sanae Rujivan, Nopporn Thamrongrat 693-713
A Property of $K_{2n+1}$ as the Sum of $n$ Spanning Cycles PDF
Hatairat Yingtaweesittikul, Vites Longani 715-720
On the Graded 2-Absorbing Primary Submodules of Graded Multiplication Modules PDF
Fatemeh Soheilnia, Shiroyeh Payrovi 721-728
Quaternary Rectangular Bands and Representations of Ternary Semigroups PDF
Anak Nongmanee, Sorasak Leeratanavalee 729-745
Finite-Time Stability of a Class of Uncertain Switched Nonlinear Systems with Time-Varying Delay PDF
Teerapong La-inchua, Narongsak Yotha 747-757
Soft Theta-Topology Based on Many-Valued Logic PDF
Osama Rashed Sayed, Ahmed Mostafa Khalil 759-783
Application of Inverse Possibility Fuzzy Soft Sets over Parameters on Some Semigroups PDF
Peerapong Suebsan, Manoj Siripitukdet 785-795
Generalized Cesaro Vector-Valued Sequence Space Using Modulus Function PDF
Sudhanshu Kumar, Arvind Kumar Verma 797-811
Stepanov-Like Pseudo Almost Periodic Solutions of Class r in $\alpha$-Norm under the Light of Measure Theory PDF
Issa Zabsonre, Abdel Hamid Gamal Nsangou, Moussa El-Khalil Kpoumie, Salifou Mboutngam 813-841
Statistical Convergence in Paranorm Sense on Time Scales PDF
Tuba Gulsen, Hikmet Koyunbakan, Emrah Yılmaz, Yavuz Altın 843-853
Some Fixed Point Theorems in K-Metric Type Spaces PDF
A. Taheri, Ali Farajzadeh, Suthep Suantai 855-859
df-Statistical Convergence of Order $\alpha$ and df-Strong Cesaro Summability of Order $\alpha$ in Accordance to a Modulus in Metric Spaces PDF
Rifat Colak, Emine Kayan 861-875
Cubic Intuitionistic Structure Applied to Commutative Ideals of $BCK$-Algebras PDF
Tapan Senapati, Young Bae Jun, Aiyared Iampan, Ronnason Chinram 877-887
Strong Convergence for the Modified Split Monotone Variational Inclusion and Fixed Point Problem PDF
Wongvisarut Khuangsatung, Atid Kangtunyakarn 889-904
A Bulk Queueing System with Starting Failure and Repair, Multiple Vacation, Stand-by Server, Closedown and N-Policy PDF
S. Karpagam, Govindan Ayyappan 905-936
Representable Autometrized Algebra and MV Algebra PDF
B.V. Subba Rao, Akella Kanakam, Phani Yedlapalli 937-943
Fixed Point Theorems of Wardowski Type Mappings in $S_{b}$-Metric Spaces PDF
Muhammad Anwar, Dur-e-Shehwar Sagheer, Rashid Ali, Samina B atul 945-956
Dynamics of the Mathematical Model Related to COVID-19 Pandemic with Treatment PDF
Özlem Ak Gumus, A. George Maria Selvam, Rajendran Janagaraj 957-970
Convergence of Three-Step Iteration Scheme for Common Fixed Point of Three Berinde Nonexpansive Mappings PDF
Seyit Temir 971-979
Intuitionistic Fuzzy F-Normed Space PDF
Bivas Dinda, Santanu Kumar Ghosh, Tapas Kumar Samanta 981-992
Best Proximity Coincidence Point Theorem for $G$-Proximal Generalized Geraghty Auxiliary Function in a Metric Space with Graph $G$ PDF
Khamsanga Sinsongkham, Watchareepan Atiponrat 993-1002
A Characterization of Maximal Subsemigroups of the Injective Transformation Semigroups with equal Gap and Defect PDF
Boorapa Singha 1003-1010
Some New Formulas for Horn's Hypergeometric Functions H_1, H_2, H_3, H_4, H_5, H_6, and H_7 PDF
Ayman Shehata, Shimaa I. Moustafa 1011-1030

The Thai Journal of Mathematics is supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2022 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|