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Common fixed point results via implicit contractions for multi-valued mappings on \(B\)-metric like spaces. (English) Zbl 1438.54143

Summary: In this paper, motivated by the recent work [H. Aydi et al., J. Nonlinear Sci. Appl. 10, No. 4, 1524–1537 (2017; Zbl 1412.47099)] some generalized nonlinear contractive conditions via implicit functions and \(\alpha\)-admissible pairs of multi-valued mappings in the setting of \(b\)-metric like spaces have been introduced. Some common fixed point results for such mappings in this framework have been provided. Then, some corollaries and consequences for our obtained results are given. Our results are the multi-valued versions of [loc. cit.]. An example also is provided to support our obtained results. The presented results generalize and extend some earlier results in the literature.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems

Citations:

Zbl 1412.47099
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References:

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