On the Result of P-contraction Operators

Authors

  • Somyot Plubtieng Department of Mathematics, Faculty of Science, Naresuan University https://orcid.org/0000-0003-4787-7283
  • Poom Kumam King Mongkut’s University of Technology Thonburi (KMUTT) https://orcid.org/0000-0002-5463-4581
  • Sompong Dhompongsa Department of Mathematics, Faculty of Science, Chiang Mai University
  • Phachara Saiparae Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, 59/13 Fai Kaeo, Phu Phiang, Nan, 55000, Thailand

Keywords:

random P-contraction, random fixed points, non-linear stochastic integral equations

Abstract

In this work, we propose and introduce a random P-contraction operator and prove an existence theorem of random fixed points for this operator which is a Banach Contraction Principle random version proof by famous Polish mathematician Stefan Banach in the year 1982 which 100 years ago (1892 – 1945). Moreover, we obtain an existence result for a solution of non-linear stochastic integral equations in a separable partially ordered Banach space.

Author Biographies

Somyot Plubtieng, Department of Mathematics, Faculty of Science, Naresuan University

Professor of Mathematics at Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Poom Kumam, King Mongkut’s University of Technology Thonburi (KMUTT)

Professor of Mathematics at KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand

Sompong Dhompongsa, Department of Mathematics, Faculty of Science, Chiang Mai University

Professor of Mathematics at Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Phachara Saiparae, Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, 59/13 Fai Kaeo, Phu Phiang, Nan, 55000, Thailand

Assistant Prof at Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, 59/13 Fai Kaeo, Phu Phiang, Nan, 55000, Thailand

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Published

2022-07-14

How to Cite

Plubtieng, S., Kumam, P., Dhompongsa, S., & Saiparae, P. (2022). On the Result of P-contraction Operators. Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 1(2), 113–129. Retrieved from https://bangmodjmcs.com/index.php/ncao/article/view/80

Issue

Vol. 1 No. 2 (2022): July - December, 2022

Section

Articles

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Copyright (c) 2022 Somyot Plubtieng, Poom Kumam, Sompong Dhompongsa, Phachara Saiparae

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