On Some Inequalities Involving Generalized Distance Functions

Mohamed Jleli () and Bessem Samet
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Mohamed Jleli: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Bessem Samet: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2023, vol. 11, issue 5, 1-13

Abstract: In this paper, a new class of generalized distance functions with respect to a pair of mappings is introduced. Next, some inequalities involving such distance functions are established. Our obtained results generalize and cover some recent results from the literature. Moreover, new distance inequalities for self-crossing polygons are obtained.

Keywords: distance with respect to a pair of mappings; distance inequalities; sum of distances; self-crossing polygons (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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