Fixed Point Theorems for Generalized Integral Type Weak-Contraction Mappings in Convex Modular Metric Spaces

Abstract

Fixed point theory in convex modular metric spaces has seen significant advancements due to its broad applicability in various fields. In 2020, Chaira et al. [5] extended fixed point theorems for weak contraction mappings within partially ordered modular metric spaces. Subsequently, in 2023, Mithun et al. [14] established fixed point theorems for integral-type weak contraction mappings in modular metric spaces. Building on these foundational results, this paper investigates fixed point results for four mappings under integral-type contraction conditions in convex modular metric spaces.

Keywords

• Fixed point
• $\Delta_2$-Condition
• Convex Modular metric spaces

References

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