Some fixed point results in b-metric-like spaces an‎d application

12/9/2026 12:00:00 AM

This thesis focuses on the study of fixed point theorems in -Metric-like space an‎d their applications. Fixed point theorems are fundamental tools in mathematics an‎d nonlinear analysis, playing a key role in solving functional equations, integral equations, an‎d optimization problems. -Metric-like spaces are generalizations of metric spaces, partial metric spaces, an‎d -metric spaces. This generalization enables the investigation of a broader class of spaces an‎d provides deeper insight into their shared an‎d distinct properties. In this research, by extending existing concepts to -Metric-like space, we explore the conditions for the existence an‎d uniqueness of fixed points for various mappings within these spaces. -Metric-like spaces, where the axiom of identity may be relaxed, offer a different framework compared to classical metric structures, thus providing wider applicability in modeling real-world problems.

اصل انقباض باناخ , فضاي بي متريك , فضاي شبه متريك , فشرده , فشرده

BanachContractionPrinciple,BCP , b-MetricSpace , CompleteMetric-likeSpace , compact

اصل انقباض باناخ

BanachContractionPrinciple,BCP