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Fixed point theorems for nonlinear weakly-contractive mappings in metric spaces. (English) Zbl 1235.54054

Summary: The purpose of this paper is to present some fixed point and coupled fixed point theorems for a nonlinear weakly \(C\)-contraction type mapping in metric and ordered metric spaces. Also, an example is given to support our results. Our results generalize several well-known results from the current literature.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
54E40 Special maps on metric spaces
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