konuralp j. math. Konuralp Journal of Mathematics 2147-625X Mehmet Zeki SARIKAYA Applied Mathematics (Other) Uygulamalı Matematik (Diğer) Characterizations of $\eta$-Ricci-Yamabe Solitons in Paracontact Geometry Baidya Ansari Rakesh DUM DUM MOTIJHEEL RABINDRA MAHAVIDYALAYA https://orcid.org/0000-0002-8990-4609 De U.c. University of Calcutta Mondal A. K. Acharya Prafulla Chandra College 04 30 2026 14 1 31 41 11 14 2025 01 18 2026 Copyright © 2013, Konuralp Journal of Mathematics 2013 Konuralp Journal of Mathematics

The purpose of this paper is to characterise $\eta$-Ricci-Yamabe solitons in paracontact geometry. Specifically, we investigate para-Kenmotsu manifolds admitting $\eta$-Ricci-Yamabe solitons and three-dimensional para-Kenmotsu manifolds satisfying gradient $\eta$-Ricci-Yamabe solitons. We also study para-Sasakian manifolds and para-cosymplectic manifolds obeying $\eta$-Ricci-Yamabe solitons and gradient $\eta$-Ricci-Yamabe solitons, respectively. As a consequence we obtain several interesting corollaries. Finally, we provide an example of $\eta$-Ricci-Yamabe solitons in a para-Kenmotsu manifold.

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