Almost $\psi$-contractions under binary relations with applications to nonlinear elastic beam equations
Year: 2025
Type: article
Abstract: In this paper, we establish a fixed point theorem for strict almost ψ-contractions under binary relations in Kaleva-Seikkala's type fuzzy b-metric spaces.By introducing two novel lemmas, we provide new proofs that differ from the original ones in metric spaces.The results obtained herein not only strengthen but also extend the scope of pre-existing fixed point theorems in the relevant literature.Additionally, As a practical application, the existence and uniqueness of solutions to nonlinear elastic beam equations are effectively demonstrated thereby bridging the theoretical and applied aspects of this study.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4411500269