Next Article in Journal
Recurrent Neural Network-Based Model Predictive Control for Continuous Pharmaceutical Manufacturing
Next Article in Special Issue
Common Fixed Points for Mappings under Contractive Conditions of (α,β,ψ)-Admissibility Type
Previous Article in Journal
Properties of Functions Involving Struve Function
Previous Article in Special Issue
A New Concept of Fixed Point in Metric and Normed Interval Spaces
Article

On p-Common Best Proximity Point Results for S-Weakly Contraction in Complete Metric Spaces

1
KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
2
KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
3
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB), Wongsawang, Bangsue, Bangkok 10800, Thailand
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(11), 241; https://doi.org/10.3390/math6110241
Received: 8 September 2018 / Revised: 16 October 2018 / Accepted: 29 October 2018 / Published: 7 November 2018
(This article belongs to the Special Issue Recent Advances in Fixed Point Theory and Its Applications)
In this work, we introduced new notions of a new contraction named S -weakly contraction; after that, we obtained the p-common best proximity point results for different types of contractions in the setting of complete metric spaces by using weak P p -property and proved the uniqueness of these points. Also, we presented some examples to prove the validity of our results. View Full-Text
Keywords: p-common best proximity point; weak Pp-property; S-weakly contraction p-common best proximity point; weak Pp-property; S-weakly contraction
MDPI and ACS Style

Kongban, C.; Kumam, P.; Komal, S.; Sitthithakerngkiet, K. On p-Common Best Proximity Point Results for S-Weakly Contraction in Complete Metric Spaces. Mathematics 2018, 6, 241. https://doi.org/10.3390/math6110241

AMA Style

Kongban C, Kumam P, Komal S, Sitthithakerngkiet K. On p-Common Best Proximity Point Results for S-Weakly Contraction in Complete Metric Spaces. Mathematics. 2018; 6(11):241. https://doi.org/10.3390/math6110241

Chicago/Turabian Style

Kongban, Chayut, Poom Kumam, Somayya Komal, and Kanokwan Sitthithakerngkiet. 2018. "On p-Common Best Proximity Point Results for S-Weakly Contraction in Complete Metric Spaces" Mathematics 6, no. 11: 241. https://doi.org/10.3390/math6110241

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop