In the paper, we introduce a new class of noncyclic $\varphi$-contractions as a generalization of the class of noncyclic contractions which was first introduced in the paper [R. Espínola, M. Gabeleh, On the structure of minimal sets of relatively nonexpansive mappings, Numerical Functional Analysis and Optimization 34 (8), 845-860, 2013] and study the existence, uniqueness and convergence of a fixed point for such class of noncyclic mapping in the framework of uniformly convex Banach spaces. We obtain existence results of the best proximity points for cyclic $\varphi$-contractions as a consequence of our main theorems.
Safari-Hafshejani, A. (2023). Existence and convergence of fixed point results for noncyclic $\varphi$-contractions. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2023.21992.1127
MLA
Akram Safari-Hafshejani. "Existence and convergence of fixed point results for noncyclic $\varphi$-contractions". AUT Journal of Mathematics and Computing, , , 2023, -. doi: 10.22060/ajmc.2023.21992.1127
HARVARD
Safari-Hafshejani, A. (2023). 'Existence and convergence of fixed point results for noncyclic $\varphi$-contractions', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2023.21992.1127
VANCOUVER
Safari-Hafshejani, A. Existence and convergence of fixed point results for noncyclic $\varphi$-contractions. AUT Journal of Mathematics and Computing, 2023; (): -. doi: 10.22060/ajmc.2023.21992.1127
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