Generalized ( ?, ?, ? )—Weak Contractions for Initial Value Problems

Piyachat Borisut, Poom Kumam, Vishal Gupta and Naveen Mani
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Piyachat Borisut: 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
Poom Kumam: 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
Vishal Gupta: Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana 133207, Haryana, India
Naveen Mani: Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana 133207, Haryana, India

Mathematics, 2019, vol. 7, issue 3, 1-14

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.

Keywords: coincidence point; fixed point; generalized ( ? , ? , ? )—weak contraction; partially ordered metric space; initial value problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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