Fixed Points of Suzuki Contractive Mappings in Modular b ‐Metric Spaces With an Application
Abstract
We introduce the concept of a generalized Z C ‐type Suzuki contraction utilizing the generalized framework of metric spaces known as the partial modular b ‐metric space in the light of an amorphous binary relation. This conceptual advancement facilitates the derivation of a series of relation–theoretical common fixed‐point theorems, underscoring the breadth and adaptability of these findings. To substantiate the relevance of these investigations, we present nontrivial examples. Finally, in order to find the solution of a spectrum of functional equations, we discuss dynamic programming problem too.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Optimization and Variational Analysis
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Journal of Applied Mathematics
- Publisher
- Wiley
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN