Fixed point theorems for simulation functions in b-metric spaces via the wt-distance

Chirasak Mongkolkeha

Thailand

Kasetsart University

Department of Mathematics Statistics and Computer Sciences

Faculty of Liberal Arts and Science

Yeol Je Cho

Korea, Republic of

Gyeongsang National University

Department of Mathematics Education and the RINS

Poom Kumam

Thailand

King Mongkut's University of Technology Thonburi

Poom Kumam received his B.S. degree in mathematics education from the Burapha University, Chonburi, Thailand, in 2000, his M.S. degree (mathematics) from the Chiang Mai University, Chiang Mai, Thailand, in 2002, under the supervision of Professor Sompong Dhompongsa, and his Ph.D. degree (mathematics) from the Naresuan University, Phitsanulok, Thailand, in 2007, under the supervision of Professor Somyot Plubtieng. He started his career as a Lecturer at the Department of Mathematics, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand, in 2002. In 2008, he received a grant from Franco-Thai Cooperation for short-term research at Laboratoire de Mathématiques, Université de Bretagne Occidentale, France. Furthermore, in 2011, Kumam had an opportunity to take a role as a Visiting Professor at Kyungnam University and Gyeongsang National University, Republic of Korea. In 2012, he took the same role, a Visiting Professor, at the University of Alberta, AB, Canada. He won two of the most important awards for mathematicians. The first one is the TRF-CHE-Scopus Young Researcher Award in 2010 which is the award given by the corporation from three organizations: Thailand Research Fund (TRF), the Commission of Higher Education (CHE), and Elsevier Publisher (Scopus). The second award was in 2012 when he received TWAS Prize for Young Scientist in Thailand which is given by the Academy of Sciences for the Developing World TWAS (UNESCO) together with the National Research Council of Thailand. His research interest focuses on fixed-point theory in both pure science and applied science.

Biography Updated on 13 November 2013

Submitted: 2016-07-02

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Accepted: 2016-12-06

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Published: 2017-04-03

DOI: https://doi.org/10.4995/agt.2017.6322
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Keywords:

Fixed point, simulation function, b-metric space, wt-distance, w-distance, generalized distance

Supporting agencies:

Thailand Research Fund (Grant No. TRG5880221)

Abstract:

The purpose of this article is to prove some fixed point theorems for simulation functions in complete b-metric spaces with partially ordered by using wt-distance which introduced by Hussain et al. [12]. Also, we give some examples to illustrate our main results.
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