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Some fixed point results without monotone property in partially ordered metric-like spaces. (English) Zbl 1293.54029
Summary: The purpose of this paper is to obtain the fixed point results for $$F$$-type contractions which satisfies a weaker condition than the monotonicity of self-mapping of a partially ordered metric-like space. A fixed point result for $$F$$-expansive mappings is also proved. Therefore, several well known results are generalized. Some examples are included which illustrate the results.

MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems 06A99 Ordered sets
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