HYBRID FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES AND APPLICATIONS
No Thumbnail Available
Date
2026
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
This work represents an advancement of fixed-point theory through the study of hybrid
fixed-point theorems in various generalized metric spaces, specifically metric and b-metric
spaces, using Hausdorff metric. We introduce several contractions types, most notably the
convex F-Khan contraction and (F,ϕ ) contraction. Furthermore, the work explores hy
brid common fixed-point results by employing modern topological properties such as the
Common Limit Range (CLR) property, (E,A) and tangential properties. To demonstrate
the practical significance of these developments in mathematics we provide some appli
cations in different domains, such as solving Fredholm integral equations and addressing
problems in Dynamic programming and systems of functional equations. These results
extend previous findings and offer enhanced analytical methods for nonlinear functional
analysis.