Revealing Fixed Points in Mappings That Challenge F-Contraction in Incomplete Extended b-Metric Spaces

This study explores the possibility that fixed points exist in ordered extended b-metric spaces by relaxing the condition of completeness. It presents non-F-contraction mappings with specific monotonicity properties and a new notion of multilinear altering functions. Two main theorems are proved that show the circumstances in which these mappings have fixed points, thus broadening the conventional application of fixed point theorems.