Seshagiri Rao N, Aloqaily Ahmad, Mlaiki Nabil
Department of Mathematics & Statistics, School of Applied Science & Humanities, Vignan's Foundation for Science, Technology & Research, Vadlamudi-522213, Guntur, Andhra Pradesh State, India.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh-11586, Saudi Arabia.
Heliyon. 2024 Jul 5;10(14):e33962. doi: 10.1016/j.heliyon.2024.e33962. eCollection 2024 Jul 30.
We discuss the existence of a fixed point for a self mapping and its uniqueness satisfying -generalized contractive condition including altering distance functions of rational terms in an ordered -metric space. It is also discussed whether the two self-maps under the same contraction condition can be coincident and coupled coincident. The results are backed up by a dearth of numerical examples and application to nonlinear quadratic integral equation.
我们讨论了自映射的不动点的存在性及其唯一性，该自映射满足包含有序度量空间中有理项的改变距离函数的广义收缩条件。还讨论了在相同收缩条件下的两个自映射是否可以重合以及耦合重合。结果得到了大量数值例子的支持，并应用于非线性二次积分方程。
