Complete orthogonally modular metric space and fixed point results for orthogonal generalized F-contraction mappings

Anuradha, S. Mehra, L. Rathour, L. N. Mishra

The objective of present paper is to introduce certain fixed point results for newly defined orthogonal generalized F-contraction mapping in the context of orthogonally modular metric spaces. Thus, several results are generalized and improved existing in the literature. We present some examples to show the validity and superiority of our results using graphs. Finally applications of our findings, show the existence of a unique solution of integral equation which make effective the new concepts and results. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(2) (2023), pp. 115-136