Recent fixed-point results for \(\theta\)-contraction mappings in rectangular \(M\)-metric spaces with supportive application. (English) Zbl 1477.54115
Summary: The goal of this manuscript is to present a new fixed-point theorem on \(\theta\)-contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. Moreover, some related sequences with \(\theta\)-contraction mappings have been discussed. Ultimately, our theoretical result has been implicated to study the existence and uniqueness of the solution to a nonlinear integral equation (NIE).
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 47H10 | Fixed-point theorems |
| 45G10 | Other nonlinear integral equations |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
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