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An integral type implicit relation for converse commuting mappings. (English) Zbl 1229.54059
Summary: We use the concept of converse commuting maps of Z.-X. Lü [Acta Anal. Funct. Appl. 4, No. 3, 226–228 (2002; Zbl 1024.54027)] to prove some common fixed point results for an implicit relation of integral type. First, we deal with such implicit relations which have their coordinate variables an integral function, secondly, with a contractive condition of integral type for a controlled function. An interesting example is given to validate our result.

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
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