Fixed point theorems for nonself contractions in convex b-metric spaces

Key Points

• The aim is to establish fixed point theorems for nonself multi-valued contractions in b-metric spaces.
• Proving theorems in complete strong b-metric spaces
• Considering nonself multi-valued contraction operators
• 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.