TY - JOUR
AU - Madad Khan,
AU - Muhammad Zeesha,
AU - Saima Anis,
AU - Abdul Sami Awan,
AU - Florentin Smarandache,
TI - Neutrosophic Soft Fixed Points
PY - 2024/02/14
Y2 - 2024/11/14
JF - Neutrosophic Sets and Systems
JA - Neutrosophic Sets Syst.
VL - 35
SE - SI#1,2024: Neutrosophical Advancements And Their Impact on Research
UR - https://fs.unm.edu/nss8/index.php/111/article/view/4018
SP - 531-546
AB - In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presenceof a appropriate map solution. Thus in several fields of math and science, the presence of a fixed point is important. Furthermore, an interesting field of mathematics has been the study of the existence and uniquenessof common fixed point (CFP) and coincidence points of mappings fulfilling the contractive conditions. Therefore, the existence of a FP is of significant importance in several fields of mathematics and science. Results ofthe FP, coincidence point (CP) contribute conditions under which maps have solutions. The aim of this paperis to explore these conditions (mappings) used to obtain the FP, CP and CFP of a neutrosophic soft set. We studysome of these mappings (conditions) such as contraction map, L-lipschitz map, non-expansive map, compatiblemap, commuting map, weakly commuting map, increasing map, dominating map, dominated map of a neutrosophic soft set. Moreover we introduce some new points like a coincidence point, common fixed point andperiodic point of neutrosophic soft mapping. We establish some basic results, particular examples on thesemappings and points. In these results we show the link between FP and CP. Moreover we show the importanceof mappings for obtaining the FP, CP and CFP of neutrosophic soft mapping.
ER -