Fixed point theorems for orthogonal F-Suzuki contraction mappings on O-complete metric space with an applications
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Abstract
In this paper, we introduce the concepts of generalized orthogonal F-contraction and orthogonal F-Suzuki
contraction mappings and prove some fixed point theorems for a self mapping in orthogonal metric space. The
proved results generalize and extend some of the well known results in the literature. An example to support our
result is presented. As applications of the main results, we apply our main results to show the existence of a
unique solution of the first-order ordinary differential equation.
Keywords:
Orthogonal set, , orthogonal metric space, orthogonal continuous, orthogonal preserving,, orthogonal F-Suzuki contraction,, fixed point.Mathematics Subject Classification:
Mathematics- Pages: 369-377
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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