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Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces. (English) Zbl 1427.54047

Summary: In this paper, we introduce a class of nonlinear contractive mappings in metric space. We also establish common fixed point theorems for these pair of non-self mappings satisfying the new contractive conditions in the convex metric space. An example is given to validate our results. The results generalize and extend some results in literature.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
54E35 Metric spaces, metrizability
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