Abstract
The objective of present paper is to introduce certain fixed point results for newly defined orthogonal generalized -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.
Funding Statement
Conflict of Interest: The authors declare that there is not any competing interest regarding the publication of this manuscript.
Acknowledgment
The authors are very much grateful to anonymous learned referees and editor for their valuable comments which improved the quality of the research article.
Citation
Anuradha. Seema Mehra. Laxmi Rathour. Lakshmi Narayan Mishra. "Complete orthogonally modular metric space and fixed point results for orthogonal generalized -contraction mappings." Adv. Studies: Euro-Tbilisi Math. J. 16 (2) 115 - 136, June 2023. https://doi.org/10.32513/asetmj/193220082320
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