A FIXED POINT RESULT IN GENERALIZED METRIC SPACES WITH GRAPHS

Simeon Reich^† Alexander J. Zaslavski^‡

Abstract: We introduce a new class of generalized metric spaces with graphs and prove a fixed point result for Rakotch type contractive mappings.

Keywords: fixed point, generalized metric, generalized nonexpansive mapping, graph, Rakotch contraction.

MSC:47H09, 47H10, 54E35.

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DOI 10.56082/annalsarscimath.2026.1.9

^†sreich@technion.ac.il, Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel
^‡ajzasl@technion.ac.il, Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 1, 2026

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997