Utilizing b-convex structures to establish fixed points.
Demonstrated existence of fixed points for specified operator conditions.
Identified conditions under which theorems hold true in b-metric spaces.
Expanded the applicability of contraction principles to nonself operators.
Resumen
Abstract In this paper we will prove some fixed point theorems for nonself multi-valued contraction type operators in complete strong b -metric spaces endowed with a b -convex structure.