What question did this study set out to answer?

The aim is to explore convergence of trajectories associated with multivalued mappings in metric spaces.

Existence of Nonstationary Fixed Point Results on Multivalued Maps and Fractal Construction Using Trajectories

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Analyzes trajectories in multivalued mappings, revealing conditions for convergence toward attractors.

The aim is to explore convergence of trajectories associated with multivalued mappings in metric spaces.
Analyzed forward and backward trajectories in a complete metric space.
Introduced a generalized class of multivalued contractions using a comparison function.
Established sufficient conditions for trajectory convergence under the Hausdorff metric.
Demonstrated convergence of sequences generated by multivalued function systems to an attractor.
Unified and generalized known fixed point and convergence theorems for multivalued dynamics.

Jothy et al. (2026) studied this question.

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