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Fixed point theorems for contractive mappings and Ćirić-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces. (English) Zbl 1412.47058

Summary: In this paper, the re-defined generalized metric space which is equivalent to the generalized metric spaces defined by M. Jleli and B. Samet [Fixed Point Theory Appl. 2015, Paper No. 61, 14 p. (2015; Zbl 1312.54024)] is presented so that some well-known spaces are incorporated in the area of re-defined generalized metric spaces. Some fixed point existence and uniqueness results of contractive and generalized contraction mappings defined on such metric spaces are provided. Especially, we discuss the fixed point existence results of Ćirić-Maiti-Pal orbit mappings of contractive type in the re-defined generalized metric spaces. In addition, some examples are provided to better support the fixed point results.

MSC:

47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces

Citations:

Zbl 1312.54024
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References:

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