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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.

From 2020 the journal is published every three months and 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 form as a TJM formatted PDF and will be published in four issues annually.

**____________________________________________________________________****____________________________________________________________________**

**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]**

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**

**A Special Issue of**

**(IWANA2019)****International Workshop on Applied Nonlinear Analysis (IWANA2019)**September 12-14, 2019.

The Tide Hotel, Bangsean, Chonburi, Thailand

This Special Issue welcomes submissions dealing with the main topic of "Applied Nonlinear Analysis" and related issues, including optimization, both theory and applications. Note that only presenters at the IWANA2019 conference iare eligible to submit.

This Special Issue (SI:IWANA2019) will appear as the Volume 18 No.1 in March 2020.

Guest Editors:

Juan Martínez-Moreno (jmmoreno@ujaen.es)

Parin Chaipunya (chaipunya.p@gmail.com)

Parin Chaipunya (chaipunya.p@gmail.com)

Antonio Francisco Roldan-Lopez-de-Hierro (aroldan@ugr.es)

Supak Phiangsungnoen (supak.pia@rmutr.ac.th)

**Instructions for submission**:

Authors should submit their manuscript in PDF file (up to 20 pages),

electronically, DIRECTLY to the online submission system of Thai J. Math

mentioning that it is for this Special Issue IWANA2019.

**Submission deadline**: December 15, 2019.

The authors can find the "Head of LATEX form" from the Journal Website.

**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.

**____________________________________________________________________**

### Vol 17, No 3 (2019): December

### Table of Contents

#### Articles

A Generalization of the Trichotomy Principle | |

Jaruwat Rodbanjong, Pimpen Vejjajiva | 597-605 |

Hybrid Forward-Backward Algorithms Using Linesearch Rule for Minimization Problem | |

Kunrada Kankam, Nattawut Pholasa, Prasit Cholamjiak | 607-625 |

Common Fixed Point Results for α-ψ-Locally Contractive Type Mappings in Right Complete Dislocated Quasi G-Metric Spaces | |

Abdullah Shoaib, Fahim Uddin, Arshad Muhammad, Muhammad Usman Ali | 627-638 |

A Fixed Point Theorem for Generalized Lipschitzian Semigroups in Hilbert Spaces | |

Muhamad Najibufahmi, Atok Zulijanto | 639-648 |

Error Bounds of Conjugate of a Periodic Signal by Almost Generalized Nörlund Means | |

Vishnu Narayan Mishra, Vaishali Sonavane | 649-662 |

Numerical Solution of Third Order Singularly Perturbed Boundary Value Problems Using Exponential Quartic Spline | |

Arshad Khan, Pooja Khandelwal | 663-672 |

Mathematical Simulation of a Groundwater Management in a Drought Area Using an Implicit Finite Dierence Method | |

Nattawut Pongnu, Nopparat Pochai | 673-684 |

Numerical Simulation of Water-Quality Model on Flooding Using Revised Lax-Diffusive and Modified Siemieniuch-Gladwell Methods | |

Kanawoot Subklay, Nopparat Pochai | 685-702 |

Fixed Point Theorems for Generalized Contractions with Triangular $\alpha$-Orbital Admissible Mappings on Branciari Metric Spaces | |

Suparat Baiya, Anchalee Kaewcharoen | 703-725 |

Meromorphic Function Sharing Small Functions with Its Derivative | |

Pulak Sahoo, Gurudas Biswas | 727–743 |

Iterative Algorithm for a System of Equilibrium Problems of Bregman Strongly Nonexpansive Mapping | |

Ali Abkar, Mohsen Shekarbaigi | 745–765 |

Some Matrices in Term of Perrin and Padovan Sequences | |

Kannika Khompungson, Benjawan Rodjanadid, Supunnee Sompong | 767–774 |

Convergence Theorems for $G$-Nonexpansive Mappings in CAT(0) Spaces Endowed with Graphs | |

Watcharapong Anakkamatee, Buris Tongnoi | 775–787 |

Fourth-Order Conservative Algorithm for Nonlinear Wave Propagation: the Rosenau-KdV Equation | |

Rakbhoom Chousurin, Thanasak Mouktonglang, Phakdi Charoensawan | 789–803 |

Convergence Theorems of the Modified SP-Iteration for $G$-Asymptotically Nonexpansive Mappings with Directed Grahps | |

Rattanakorn Wattanataweekul | 805–820 |

Common Endpoints for Non-Commutative Suzuki Mappings | |

Thanomsak Laokul, Bancha Panyanak | 821–828 |

Remarks on Brouwer Fixed Point Theorem for Some Surfaces in $\mathbb{R}^3$ | |

Preeyaporn Thongin, Worapong Fupinwong | 829–842 |

Projection Type Ishikawa Iteration with Perturbations for Common Fixed Points of Two Nonself Generalized Asymptotically Quasi-Nonexpansive Mappings | |

Kritsadaphiwat Wongyai, Tanakit Thianwan | 843–859 |

**Copyright** 2019 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|