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M. Younis, H. Ahmad, W. Shahid. BEST PROXIMITY POINTS FOR MULTIVALUED MAPPINGS AND EQUATION OF MOTION[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 298-316. doi: 10.11948/20230213

Citation:

M. Younis, H. Ahmad, W. Shahid. BEST PROXIMITY POINTS FOR MULTIVALUED MAPPINGS AND EQUATION OF MOTION[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 298-316. doi: 10.11948/20230213

BEST PROXIMITY POINTS FOR MULTIVALUED MAPPINGS AND EQUATION OF MOTION

1.
School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China
2.
Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, Pakistan
3.
Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

Author Bio: Email: haroonrao3@gmail.com(H. Ahmad); Email: wasee.mathematician@gmail.com(W. Shahid)
Corresponding author: Email: mudasiryouniscuk@gmail.com(M. Younis)

Abstract

Abstract

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.
- Equation of motion /
- coincidence best proximity point /
- $\digamma$-contraction /
- alternating distance /
- b-metric space
MSC: 54E05, 70E17, 4G10

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