About some integral equation in terms of a metric and order relation



	About some integral equation in terms of a metric and order relation


	Fixed Point Theory, Volume 26, No. 1, 2025, 235-246, February 1st, 2025 DOI: 10.24193/fpt-ro.2025.1.15 Authors: Ion Marian Olaru Abstract: In this paper we shall study, in terms of a metric and an order relation, the existence, uniqueness and data dependence for the solutions of integral equation Our results extend the results from I.M.Olaru An Integral Equation via Weakly Picard Operators, Fixed Point Theory, 11(2010), No. 1, pp 97-106. Key Words and Phrases: Integral equations, Picard operators, fixed points, data dependence, ordered metric space, Gronwall lemma. 2010 Mathematics Subject Classification: 45G10, 47H10, 45D05. Published on-line: February 1st, 2025. Fulltext pdf Back to volume's table of contents