Applying Fixed Point Theorems for Generalized Kannan-Type Mappings to Fredholm Equations in the Setting of Extended b-Metric Spaces
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Keywords:
Fixed point (FP), Extended b-metric space (EBMS), Kannan type mapping (KTM), Hyers-Ulam Stability (HUS), Fredholm integral equation (FIE)Abstract
This paper gifts a comprehensive study of fixed point theory in extended b-metric spaces and its applications to Fredholm integral equations, with a particular focus on Hyers-Ulam stability. We provide new fixed point theorems for extended Kannan-type mapping. using subadditive altering distance functions, significantly extending classical results from standard metric and b-metric spaces to this more flexible and generalized framework .
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