Some Fixed Point Theorems for (CAB)-contractive Mappings and Related Results
Mathematica Moravica, Tome 19 (2015) no. 2.

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In this paper, we introduced the concept of (CAB)-contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in metric spaces and several interesting corollaries are deduced. Also, as application, we obtain some results on coupled fixed points, fixed point on metric spaces endowed with N-transitive binary relation and fixed point for cyclic mappings. The proved results generalize and extend various well-known results in the literature.
Mots-clés : fixed point, (CAB)-contraction mappings, binary relations, metric space 
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Arslan Hojat Ansari; Maher Berzig; Sumit Chandok. Some Fixed Point Theorems for (CAB)-contractive Mappings and Related Results. Mathematica Moravica, Tome 19 (2015) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2015_19_2_a7/