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Integral type contractive condition for converse commuting mappings. (English) Zbl 1229.54058

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 satisfying an integral type contractive condition in symmetric and in metric spaces. An interesting example is given to validate our Theorem 2.3 proved for metric spaces.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E25 Semimetric spaces

Citations:

Zbl 1024.54027
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