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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 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 1 (2018): April

### Table of Contents

#### Articles

An Incremental Approach to Share-Frequent Itemsets Mining | |

Chayanan Nawapornanan, Sarun Intakosum, Veera Boonjing | 1-23 |

Existence Results for Second Order Neutral Integrodifferential Equations of Sobolev Type in Banach Spaces | |

Bheeman Radhakrishnan | 25-47 |

Common Fixed Points of an Iterative Method for Berinde Nonexpansive Mappings | |

Limpapat Bussaban, Atichart Kettapun | 49-60 |

A Hybrid Subgradient Algorithm for Finding a Common Solution of Pseudomonotone Equilibrium Problems and Hierarchical Fixed Point Problems of Nonexpansive Mappings | |

Rattanaporn Wangkeeree, Kiattisak Rattanaseeha, Rabian Wangkeeree | 61-77 |

On Generalized Strong Vector Variational Inequality Problem with Fuzzy Mappings | |

S.M. Halimi, A.P. Farajzadeh, A. Kaewcharoen | 79-87 |

Strong Convergence for $ANI$ Mappings | |

Kamonrat Nammanee, Kornwirin Chumuang, Raweewan Gatema, Supansa Jaipanya, Rungthip Sudseangsang | 89-101 |

Characterizations of Fuzzy Ideals of Semigroups by Soft Sets | |

Manoj Siripitukdet | 103-120 |

Tripled Coincidence Point Theorems with $M$-Invariant Set for a $\alpha$-$\psi$-Contractive Mapping in Partially Metric Spaces | |

Phakdi Charoensawan | 121-138 |

Approximating Common Fixed Points of Two $\alpha$-Nonexpansive Mappings | |

Khanitin Muangchoo-in, Poom Kumam, Yeol Je Cho | 139-145 |

On Optimization via $\epsilon$-Generalized Weak Subdifferentials | |

P. Cheraghi, A.P. Farajzadeh, S. Suantai | 147-164 |

Regular Elements of the Variant Semigroups of Transformations Preserving Double Direction Equivalences | |

Winita Yonthanthum | 165-171 |

Existence of Best Proximity Points for a Class of Generalized Cyclic Contraction Mappings | |

Somboon Niyom, Pornpimon Boriwan, Narin Petrot | 173-182 |

Convergence Theorems of Iterative Methods for System of Strongly Nonlinear Nonconvex Variational Inequalities | |

Issara Inchan | 183-194 |

On the Delta-Hedging of the Option Price on Future from the Black-Scholes Equation | |

Amnuay Kananthai, Rujira Ouncharoen | 195-202 |

Convergence Analysis for Relaxed Extragradient Method and Variational Inequality Problem with Numerical Example | |

Keerati Siriyan, Atid Kangtunyakarn | 203-218 |

Some Convergence Theorems of Three-Step Iteration for $G$-Nonexpansive Mappings on Banach Spaces with Graph | |

Yaowaluk Alibaud, Sarachai Kongsiriwong, Orawan Tripak | 219-228 |

Some Notes on Cone Metric Spaces | |

M. Tavakoli, A.P. Farajzadeh, T. Abdeljawad, S. Suantai | 229-242 |

The Modified Viscosity Iteration with $m$-Generalized Hybrid Mappings and $(a,b)$-Monotone Mappings for Equilibrium Problems | |

Pichada Sadeewong, Teerapol Saleewong, Poom Kumam, Yeol Je Cho | 243-265 |

On the Inequalities Concerning to the Polar Derivative of a Polynomial with Restricted zeros | |

Irshad Ahmad, Abdul Liman, Wali Mohammad Shah | 267-274 |

Dissipative Extensions of Fourth Order Differential Operators | |

Huseyin Tuna, Bilender Pasaoglu Allahverdiev | 275-285 |

**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|