Next Article in Journal
Super Connectivity of Erdős-Rényi Graphs
Previous Article in Journal
An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov–Petrovskii–Piskunov Equation
Previous Article in Special Issue
A New Family of Chaotic Systems with Different Closed Curve Equilibrium
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(3), 266; https://doi.org/10.3390/math7030266

Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems

1
KMUTT-Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, 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, 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
Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana 133207, Haryana, India
*
Author to whom correspondence should be addressed.
Received: 5 February 2019 / Revised: 1 March 2019 / Accepted: 5 March 2019 / Published: 15 March 2019
(This article belongs to the Special Issue Fixed Point Theory and Dynamical Systems with Applications)
Full-Text   |   PDF [264 KB, uploaded 15 March 2019]   |   Review Reports

Abstract

A class of generalized ( ψ , α , β ) —weak contraction is introduced and some fixed-point theorems in a framework of partially ordered metric spaces are proved. The main result of this paper is applied to a first-order ordinary differential equation to find its solution. View Full-Text
Keywords: coincidence point; fixed point; generalized (ψ,α,β)—weak contraction; partially ordered metric space; initial value problem coincidence point; fixed point; generalized (ψ,α,β)—weak contraction; partially ordered metric space; initial value problem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Borisut, P.; Kumam, P.; Gupta, V.; Mani, N. Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems. Mathematics 2019, 7, 266.

Show more citation formats Show less citations formats

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

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top