**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 pages each.

Appear : April, August and December. Occasionally special issues are also published. Papers are published as soon as they are accepted.

*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 form as a TJM formatted PDF and will be published in four issues annually.

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**Reviewing/Indexing**

**is covered Abstracted, Reviewed and Indexeded in:**

Thai J Math.

Thai J Math.

**Mathematical Reviews**,

**MathSciNet**,

**Zentralblatt MATH Database**,

**Google Scholar**and

**Scopus [Elsevier]**

**Thomson Reuters**).

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**Call for papers**

## Special issue dedicated to Professor Suthep Suantai for his 60th birthday anniversary

A special issue of Thai Journal of Mathematics –Vol. 18 No.3/2020 – will be Dedicated to Professor Suthep Suantai for his 60th birthday anniversary. Authors of papers related to areas of expertise of Professor Suthep Suantai are invited to submit a manuscript for this special issue.

Submission

Authors should follow the usual procedure of Thai Journal of Mathematics (TJM) for the preparation as well as for the submission of their work (http://thaijmath.in.cmu.ac.th/index.php/thaijmath/index), but they have to clearly mention during the submission process that the manuscript is intended for the “Special issue: Dedicated to Prof.Suthep Suantai for his 60th birthday anniversary”, by selecting Article type accordingly.

Timeline

Submissions Due: Closed

Expected Acceptance Notification: 30 June 2020

Expected On-line / Printed Publication: 30 September 2020

Guest Editors:

Attapol Kaewkhao, Chiang Mai University

Narin Petrot, Naresuan University

Pasit Cholamjiak, University of Phayao

Poom Kumam, KMUTT

**This workshop is a celebration of the 60th birthday of Professor Dr. Suthep Suantai.**

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### Vol 18, No 2 (2020): June

### Table of Contents

#### Articles

Coincidence Point Theorems for BKC-Contraction Mappings in Generalized Metric Spaces Endowed with a Directed Graph | |

Phakdi Charoensawan, Watchareepan Atiponrat | 539-549 |

Pursuit Differential Game Problem with Multiple Players on a Closed Convex Set with More General Integral Constraints | |

Idris Ahmed, Wiyada Kumam, Gafurjan Ibragimov, Jewaidu Rilwan | 551-561 |

A Generalization of Subnexuses Based on $\mathcal{N}$-Structures | |

Morteza Norouzi, Ameneh Asadi, Young Bae Jun | 563-575 |

The Stability of an Additive-Quartic Functional Equation in Quasi-$\beta$-Normed Spaces with the Fixed Point Alternative | |

Anurak Thanyacharoen, Wutiphol Sintunavarat | 577-592 |

Extention of Bernstein's Type Inequality to Polar Derivative of a Polynomial | |

irshad Ahmad Sheikh, Abdul Liman, Ruqia Mohammad | 593-596 |

On the Darboux Vector of Ruled Surfaces in Galilean Space | |

Cumali Ekici, Mustafa Dede, Erdal Ozusaglam | 597-606 |

On a New Subclass of Harmonic Univalent Functions Defined by Modified Catas Operator | |

A. O. Mostafa, M. K. Aouf, A. Shamandy, E. A. Adwan | 607-619 |

On Finding Exact Solutions to Coupled Systems of Partial Differential Equations by the NDM | |

Mahmoud Saleh Rawashdeh, Shehu Maitama | 621-637 |

Numerical Solutions of Nonlinear Wave-Like Equations by Reduced Differential Transform Method | |

Murat Gubes, Yildiray Keskin, Galip Oturanc | 639-650 |

Mixed Control Chart Design Using the Integration of Genetic Algorithm and Monte Carlo Simulation | |

Pramote Charongrattanasakul, Wimonmas Bamrungsetthapong | 651-667 |

A Note on Homotopic Invariance for Endpoints of Multi-Valued Contractive Mappings | |

Bancha Panyanak | 669-675 |

A Saulyev Explicit Scheme for an One-Dimensional Advection-Diffusion-Reaction Equation in an Opened Uniform Flow Stream | |

Pawarisa Samalerk, Nopparat Pochai | 677-683 |

Optimal Approximate Solution for S-Weakly Contraction and Generalized Suzuki-Contraction by Using P_p-Property and Weak-P-Property in Complete Metric Spaces | |

Somayya Komal, Poom Kumam | 685-702 |

G-Frames, Fusion Frames and the Restricted Isometry Property | |

Mohammad Sadegh Asgari, Golsa Kavian | 703-713 |

Fractional Differential Operators and Generalized Oscillatory Dynamics | |

Rami Ahmad El-Nabulsi | 715-732 |

Some Common Fixed Point Theorem for Geraghty's Type Contraction Mapping with Two T-Metrics in T-Metric Spaces with Graph | |

Chaiporn Thangthong, Phakdi Charoensawan | 733-743 |

On Some Differential Inequalities II | |

H. Aaisha Farzana, M. P. Jeyaraman | 745-749 |

Multistage Integral Mean Value Method for the Fredholm Integral Equations of the Second Kind | |

Ahmad Molabahrami, Sakineh Niasadegh | 751-763 |

Economic Production Quantity Model for Deteriorating Items for Three Stage System with Partial Backlogging | |

Rakesh Prakesh Tripathi, Amit Kumar Uniyal | 765-774 |

A New Family of Semicircular and Circular Arc Tan-Exponential Type Distributions | |

Phani Yedlapalli, S.V.S. Girija, A.V. Dattatreya Rao, Sastry K. L. N | 775-781 |

On Geometry of Volume Elements and Fractional Differentiable Manifolds | |

Wedad Salleh, Adem Kilicman | 783-793 |

Majorization Results on Multivalently Meromorphic Functions Involving Wright Hypergeometric Functions | |

Kaliappan Vijaya, Kaliappan Uma, Murugasen Kasthuri | 795-801 |

On Asymptotically Wijsman Deferred Statistical Equivalence of Sequence of Sets | |

Maya Altınok, Burcu lnan, Mehmet Kucukaslan | 803-817 |

Regularity of a Semigroup of Transformations with Restricted Range that Preserves an Equivalence Relation and a Cross-Section | |

Chollawat Pookpienlert, Preeyanuch Honyam, Jintana Sanwong | 819-830 |

On the Parametric Interest of the Option Price of Stock from Black-Scholes Equation | |

Amnuay Kananthai, Somsak Chanaim, Chongkolnee Rungruang | 831-837 |

Retraction Notice to "On Certain Subclasses of Analytic Functions Associated with Generalized Struve Functions” [Thai Journal of Mathematics 17 (1) 217–228] | |

G. Murugusundaramoorthy, T. Janani | 839 |

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

**Copyright** 2020 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|