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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.

**____________________________________________________________________****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)

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.

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.

**Submission deadline**: December 1, 2018After 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.

**____________________________________________________________________**

**Call for papers**

**A Special Issue on AMM2018**

A Special Issue of Thai Journal of Mathematics is Proceeding of the 23rd Annal Meeting in Mathematics (AMM2018), May 3-5, 2018 organized by Departments of Mathematics, Faculty of Science, KMUTT

The schedule is as follows.Submission deadline: August 31, 2018

For manuscript format and submission on http://thaijmath.in.cmu.ac.th choose

Announcements of reviewing results: October 8, 2018

**Special Issue: AMM2018**Announcements of reviewing results: October 8, 2018

Final manuscript submission: October 30, 2018

Final versions of accepted papers should be send electronically, in both pdf and Latex files, to poom.kumam@mail.kmutt.ac.thwith the copyright transfer to the publisher.

The Special Issue will appear in December 2018

Editors: Poom Kumam and Parin Chaipunya, KMUTT

**____________________________________________________________________**

**Call for papers**

**A Special Issue on ACFPTO2018**

A Special Issue of Thai Journal of Mathematics is Proceeding of

**The 10th Asian Conference on Fixed Point Theory and Optimization (ACFPTO2018)**July 16-18, 2018 organized by Departments of Mathematics, Faculty of Science, Chiang Mai University. http://www.math.science.cmu.ac.th/acfpto2018/index.htmlFor manuscript format and submission on http://thaijmath.in.cmu.ac.th choose

**Special Issue: ACFPTO2018**

*Submission deadline:*

**August 31, 2018***Announcements of reviewing results:*

**October 30, 2018***Final manuscript submission:*

**November 30, 2018***The Special Issue will appear in*

**December 2018.**

Final versions of accepted papers should be send electronically, in both pdf and Latex files, to poom.kumam@mail.kmutt.ac.th with the copyright transfer to the publisher.

The Special Issue will appear in December 2018

Editors: Sompong Dhompongsa, Poom Kumam, Parin Chaipuny and Yeol Je Cho

**____________________________________________________________________**

**____________________________________________________________________**

**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]**

**SCImago Journal Rank (SJR) 2017=0.23**

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**).**____________________________________________________________________**

### Vol 16, No 2 (2018): August

### Table of Contents

#### Articles

Berinde-Borcut Tripled Best Proximity Points with Generalized Contraction Pairs | |

Premyuda Dechboon, Parinya Sa Ngiamsunthorn, Poom Kumam, Parin Chaipunya | 287-303 |

Common Fixed Point Theorems for Generalized Contractions Mappings | |

Sumit Chandok | 305-314 |

Approximate Bi-Additive Mappings in Intuitionistic Fuzzy Normed Spaces | |

Javad Shokri | 315-333 |

Some Characterizations of Anti-Fuzzy (Generalized) Bi-Ideals of Semigroups | |

Pongpun Julatha, Manoj Siripitukdet | 335-346 |

Common Fixed Point Theorems in Fuzzy Metric Spaces under Implicit Relations | |

Deepak Singh, Mayank Sharma, Ramakant Sharma, Naval Singh | 347-358 |

Modified Noor Iterations with Errors for Generalized Strongly $Phi$-Pseudocontractive Maps in Banach Spaces | |

Godwin Amechi Okeke, Johnson O Olaleru | 359-369 |

On Some Čebyšev Type Inequalities for Functions whose Second Derivatives are $r$-Convex on the Co-Ordinates | |

B. Meftah, khaled boukerrioua, T. Chiheb | 371-382 |

Levitin-Polyak Well-Posedness for Strong Vector Mixed Quasivariational Inequality Problems | |

Panatda Boonman, Rabian Wangkeeree, Lam Quoc Anh | 383-399 |

Euler-Taylor Matrix Method for Solving Linear Volterra-Fredholm Integro-Differential Equations with Variable Coefficients | |

Teeranush Suebcharoen | 401-413 |

On 2-Primal Modules | |

Nguyen T. Bac, Hai Q. Dinh, N. J. Groenewald | 415-425 |

Sensitivity Analysis for the Quasi Variational Inequality Problems on Uniformly Prox Regular Sets | |

Narin Petrot, Jittiporn Tangkhawiwetkul | 427-442 |

A Group Action on Pandiagonal Lanna Magic Squares | |

Unyamanee Seanprom, Attapol Kaewkhao, Natee Tongsiri, Atichart Kettapun | 443-453 |

Common Fixed Point Results for Three Maps One of which is Multivalued in G-Metric Spaces | |

Narawadee Phudolsitthiphat, Phakdi Charoensawan | 455-469 |

Numerical Solution of the Nonlinear Integro- Differential Equations of Multi-Arbitrary Order | |

Mehdi Delkhosh, Kourosh Parand | 471-488 |

New Forward Backward Splitting Methods for Solving Pseudomonotone Variational Inequalities | |

Kan Buranakorn, Somyot Plubtieng, Tadchai Yuying | 489-502 |

Convergence Theorems for Common Fixed Points of Two G-Nonexpansive Mappings in a Banach Space with a Directed Graph | |

Manakorn Wattanataweekul, Chalongchai Klanarong | 503-516 |

Geraghty's Fixed Point Theorem for Partial-Special Multi-Valued Mappings | |

Vincenzo La Rosa | 517-527 |

Colorability of Unitary Endo-Cayley Graphs of Cyclic Groups | |

Chanon Promsakon | 529-539 |

Fuzzy Congruences on Strongly $\pi$-Inverse Semigroups | |

Yabing Shi, Zhenji Tian | 541-547 |

Study on Smallest (Fuzzy) Ideals of $\mathcal{LA}$-Semigroups | |

Faisal Yousafzai, Aiyared Iampan, Jian Tang | 549-561 |

**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|