Some Contribution to Multivalued Fixed Point Problems on a Closed Ball with Applications

The objective of this research is to prove novel theorems for two discrete families of multi nonlinear dominated operators that satisfy the hybrid type locally contractions in the framework of complete strong -metric like spaces. Our approach combines two distinct types of mappings: one from a weaker class of non-decreasing mappings, and the other from a class of multi-dominated mappings. Furthermore, some latest findings for graph contraction involving with family of multi-graph dominated structure are introduced. Several illustrative examples are presented to show the validity of the hypothesis underlying our results. Furthermore, two related applications are given to highlight the novelty of our findings. Our findings have prompted adjustments to various recent and classical outcomes in the academic literature, offering further proof of the innovation and significance of our work.