Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems
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
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
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
A class of generalized
—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.
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Borisut, P.; Kumam, P.; Gupta, V.; Mani, N. Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems. Mathematics 2019, 7, 266.
Borisut P, Kumam P, Gupta V, Mani N. Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems. Mathematics. 2019; 7(3):266.
Borisut, Piyachat; Kumam, Poom; Gupta, Vishal; Mani, Naveen. 2019. "Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems." Mathematics 7, no. 3: 266.
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