Neutrosophic Soft Fixed Points

Abstract

In a wide spectrum of mathematical issues, the presence of a fixed point (FP) is equal to the presence
of 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 uniqueness
of 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 of
the FP, coincidence point (CP) contribute conditions under which maps have solutions. The aim of this paper
is to explore these conditions (mappings) used to obtain the FP, CP and CFP of a neutrosophic soft set. We study
some of these mappings (conditions) such as contraction map, L-lipschitz map, non-expansive map, compatible
map, 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 and
periodic point of neutrosophic soft mapping. We establish some basic results, particular examples on these
mappings and points. In these results we show the link between FP and CP. Moreover we show the importance
of mappings for obtaining the FP, CP and CFP of neutrosophic soft mapping.