Sumaiya Tasneem Z, Kalpana Gopalan, and Thabet Abdeljawad. A Different Approach to Fixed Point Theorems on Triple Controlled Metric Type Spaces with a Numerical Experiment. Dynamic Systems and Applications 30 (2021) No.1, 111-130

https://doi.org/10.46719/dsa20213018

ABSTRACT.
In this present study,\;we propose the conception of triple controlled metric type spaces as a generalization of both double controlled metric type spaces and controlled b-Branciari metric type spaces. We then prove appropriate fixed point theorems by using different sorts of contractions in the context of triple controlled metric type spaces. We subsequently provide a simple solution for the Fredholm integral equation using a fixed point technique under the same metric. Numerical illustration clearly demonstrates the feasibility of the fixed point method used in this manuscript.

AMS (MOS) Subject Classification. 47H10,\;54H25.