## Thai Journal of Mathematics

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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.
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Reviewing/Indexing
Thai J Math.
is covered Abstracted, Reviewed and Indexeded in:
Emerging Sources Citation Index (ESCI) [Web of Science by © 2018 Clarivate Analytics]
Mathematical ReviewsMathSciNet,
Zentralblatt MATH Database,
Scopus [Elsevier]

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).
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Call for papers
A Special Issue of Thai Journal of Mathematics: STRUCTURAL CHANGE MODELING AND OPTIMIZATION IN ECONOMETRICS
http://thaijmath.in.cmu.ac.th
This Special Issue welcomes submissions dealing with the main topic of "structural change/ change point modeling in econometrics" and related issues, including optimization, both theory and applications.

This Special Issue will appear in April, 2019.
Guest Editor: Hung T. Nguyen (hunguyen@nmsu.edu)
Instructions for submission:
Authors should submit their manuscript in PDF file (up to 20 pages),
electronically, DIRECTLY to the Guest Editor at: hunguyen@nmsu.edu
mentioning that it is for this Special Issue.
After the acceptance, authors must send their manuscript in LATEX file
(and the Signed transfer of copyright) to hunguyen@nmsu.edu
CC thaijmath@cmu.ac.th

The authors can find the "Head of LATEX form" from the Journal Website.
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### Vol 16, No 3 (2018): December

#### Articles

 Generalized $\tau_1\tau_2$-Closed Sets in Ideal Bitopological Spaces PDF Chalongchai Klanarong, Chawalit Boonpok 563–575
 On Strongly Semiprime Modules and Submodules Submodules PDF Hai Q. Dinh, Nguyen Trong Bac, Nico Johannes Groenewald, Dong Thi Hong Ngoc 577–590
 On Some Inequalities for Different Kinds of Convexity PDF Merve Avci Ardic, Muhamet Emin Ozdemir 591–597
 On Decompositions of Intra-Regular and Left Regular Ordered $\star$-Semigroups PDF Chong-Yih Wu 599–611
 New Hadamard's Inequality for $( \alpha _{1}, m_{1})$-$( \alpha _{2}, m_{2})$-Preinvex Functions on the Co-Ordinates PDF khaled boukerrioua, B. Meftah, T. Chiheb 613–641
 On the Diophantine Equation $4^x-p^y=3z^2$ where $p$ is a Prime PDF Julius Fergy Tiongson Rabago 643–650
 Fine Spectrum of the Generalized Difference Operator $\Delta_{uv}$ on the Sequence Space $c_0$ PDF Parmeshwary Dayal Srivastava, Sudhanshu Kumar 651–663
 Global Behavior of a Fourth Order Rational Difference Equation PDF R. Abo-Zeid, M. A. Al-Shabi 665–674
 $\epsilon$-Closed Sets PDF Talal Al-Hawary 675–681
 Some Inequalities for the $q$-Gamma and the $q$-Polygamma Functions PDF Ahmed Salem 683–692
 On Special Weakly Riccisymmetric and Generalized Ricci-Recurrent Trans-Sasakian Structures PDF Sudhakar Kumar Chaubey 693–707
 On $\phi-$Quasiconformally Symmetric $N(k)-$Contact Metric Manifolds PDF Avik De, Yoshio Matsuyama 709–722
 New Inequalities of Ostrowski Type for Mappings whose Derivatives are $(\alpha, m)$-Convex via Fractional Integrals PDF M. Emin Özdemir, Havva Kavurmaci-Önalan, Merve Avci-Ardic ̧ 723–731
 On the Kernel of the Black-Scholes Equation for the Option Price on Future Related to the Black-Scholes Formula PDF Amnuay Kananthai, Somsak Chanaim, Chongkolnee Rungruang 733–744
 Multivalued Coincidence Point Results in Partially Ordered Metric Spaces PDF Binayak S. Choudhury, Nikhilesh Metiya 745–756
 On Modular Difference Sequence Spaces PDF Parmeshwary Dayal Srivastava, Atanu Manna 757–774
 Common Fixed Point Results on Complex Valued $G_b$-Metric Spaces PDF Ozgur Ege1, Ismet Karaca 775–787
 On Global Existence of Solutions for Abstract Nonlinear Functional Neutral Integro-Differential Equations with Nonlocal Condition PDF Rupali S. Jain, Machhindra B. Dhakne 789–799
 $\Psi$-Stability for Nonlinear Difference Equations PDF T. S. Rao, G. Suresh Kumar, M.S. N. Murty 801–815
 Approximating Common Fixed Points for Two $G$-Asymptotically Nonexpansive Mappings with Directed Grahps PDF Manakorn Wattanataweekul 817–830

Copyright 2018 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|