A Common Fixed Point Theorem for Self Maps on a Metric Space using Pseudo Altering Distance Function and a Deficit Function
Keywords:
Altering Distance, Deficit Function, Fixed Point, Generalized Weak Contraction, Metric Space, Pseudo Altering Distance, Weakly Compatible Maps, Weak ContractionAbstract
A generalized weak contraction condition involves an altering distance function which is non-decreasing and continuous. However, in dealing with problems, the altering distance function fails to be continuous throughout. There is a need to develop tools to handle such situations. Further, in many of the common fixed point results while dealing with generalized contractions involving an altering distance function
