
By introducing the concept of multi-valued \(f\)-weak contraction and generalized multi-valued \(f\)-weak contraction, the author obtains two coincidence fixed point theorems which include, in particular, two common fixed point theorems. If \(f=I\), the identity map, one obtains the results co-authored by the reviewer: \textit{M. Berinde} and \textit{V. Berinde} [J. Math. Anal. Appl. 326, 772--782 (2007; Zbl 1117.47039)].
Fixed-point theorems, coincidence point, Fixed-point and coincidence theorems (topological aspects), convergence theorem, metric space, common fixed point, multi-valued \(f\)-weak contraction
Fixed-point theorems, coincidence point, Fixed-point and coincidence theorems (topological aspects), convergence theorem, metric space, common fixed point, multi-valued \(f\)-weak contraction
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