We familiarize AM and SAM−contractions involving rational terms to prove the best proximant for discontinuous set-valued maps in partially ordered metric spaces. In the sequel, we demonstrate that completeness of space or subspace is not mandatory for the survival of the best proximant of set-valued maps. Obtained outcomes are unifications, extensions, improvements, and generalizations of some of the widely known results. We provide non-trivial illustrations to exhibit the importance of our explorations.
Petwal,S , Tomar,A and Joshi,M . (2023). Best proximant for set-valued maps via proximal relations. International Journal of Nonlinear Analysis and Applications, 14(1), 1237-1247. doi: 10.22075/ijnaa.2022.25299.2983
MLA
Petwal,S , , Tomar,A , and Joshi,M . "Best proximant for set-valued maps via proximal relations", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1237-1247. doi: 10.22075/ijnaa.2022.25299.2983
HARVARD
Petwal S, Tomar A, Joshi M. (2023). 'Best proximant for set-valued maps via proximal relations', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1237-1247. doi: 10.22075/ijnaa.2022.25299.2983
CHICAGO
S Petwal, A Tomar and M Joshi, "Best proximant for set-valued maps via proximal relations," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1237-1247, doi: 10.22075/ijnaa.2022.25299.2983
VANCOUVER
Petwal S, Tomar A, Joshi M. Best proximant for set-valued maps via proximal relations. IJNAA. 2023;14(1):1237-1247. doi: 10.22075/ijnaa.2022.25299.2983
International Journal of Nonlinear Analysis and Applications