BEST PROXIMITY POINTS FOR MULTIVALUED MAPPINGS AND EQUATION OF MOTION

被引：4
|
作者：
Younis, M. [1 ]
Ahmad, H. [2 ]
Shahid, W. [3 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
[3] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 01期
关键词：
Equation of motion; coincidence best proximity point; z-contraction; alternating distance; b-metric space; METRIC-SPACES; THEOREMS; COINCIDENCE; EXISTENCE;
D O I：
10.11948/20230213
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this manuscript, we compute coincidence point, best proximity point, and fixed point results for multivalued proximal contractions in the setup of b-metric spaces using an alternating distance function. Moreover, we show the corresponding results for single-valued mappings can also be obtained using generalized proximal contractions. To validate our study, examples are given for both multivalued and single-valued mappings that strengthen our main results based on coincidence points. In the end, we apply the obtained result to show the existence of the solution of a particular type of second-order boundary value problem describing the equation of motion.
引用
收藏
页码：298 / 316
页数：19
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