Generalized fixed point theorems on metric spaces
Mathematica Moravica, Tome 26 (2022) no. 2.

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In this paper, we establish some fixed point theorems for single valued and multi-valued mappings on a complete metric space. Suzuki’s and some other fixed point theorems are generalized by taking a more general contractive condition for single valued mappings. It is also proved that our result characterizes the completeness of the metric space. Further, taking generalized contractive condition, a fixed point theorem is also established for multi-valued mappings.
Mots-clés : Single valued and multi-valued mappings, Suzuki type contraction, fixed points and metric completeness. 
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Naveen Chandra; Bharti Joshi; Mahesh C. Joshi. Generalized fixed point theorems on metric spaces. Mathematica Moravica, Tome 26 (2022) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2022_26_2_a4/