Common best proximity points results for new proximal \(C\)-contraction mappings. (English) Zbl 1338.90321
Summary: We define a new version of proximal \(C\)-contraction and prove the existence and uniqueness of a common best proximity point for a pair of non-self functions. Then we apply our main results to get some fixed point theorems and we give an example to illustrate our results.
MSC:
| 90C26 | Nonconvex programming, global optimization |
| 90C30 | Nonlinear programming |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47H10 | Fixed-point theorems |
Keywords:
common best proximity point; triangular \(\alpha\)-proximal admissible; proximal \(C\)-contractionReferences:
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