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Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces. (English) Zbl 1198.54076

Summary: We prove some existence results on coincidence and common fixed points of two pairs of self mappings without continuity under relatively weaker commutativity requirement in Menger PM spaces. Our results generalize many known results in Menger as well as metric spaces. Some related results are also derived besides furnishing illustrative examples.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.


MSC:
54H25Fixed-point and coincidence theorems in topological spaces
54E70Probabilistic metric spaces