INVENTORY MODEL INVOLVING LEAD TIME CRASHING COST AS AN EXPONENTIAL FUNCTION WITH ORDERING COST REDUCTION DEPENDENT ON LEAD TIME
By
S. Hemalatha1* and K. Annadurai2
1*Ph.D. Scholar, Mother Teresa Women’s University, Kodaikanal, Assistant Professor, Department of Mathematics, SSM Institute of Engineering and Technology, Dindigul, Tamilnadu, India-624001
2Associate Professor and Head, PG and Research Department of Mathematics, M.V. Muthiah Government Arts College for Women, Dindigul, Tamilnadu, India-624001
Email: ∗Corresponding author: shemalatha1974@ gmail.com, drkannadurai@gmail.com
(Received: August 04, 2023; In format: August 13, 2024; Revised: December 17, 2024; Accepted: December 26, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54231
Abstract
We prove the existence of maximal and minimal integrable solutions of nonlinear Urysohn type integral equations. Two basic integral inequalities are obtained in the form of extremal integrable solutions which are further exploited for proving the boundedness and uniqueness of the integrable solutions of the considered integral equation.
2020 Mathematical Sciences Classification: Primary 45G10 Secondary 47H10
Keywords: Urysohn integral equation; Tarski fixed point principle; Extremal integrable solutions; integral inequalities.