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Orbital b-metric spaces and related fixed point results on advanced Nashine–Wardowski–Feng–Liu type contractions with applicationsopen access

Authors
Rasham, TahairShabbir, Muhammad SajjadNazam, MuhammadMusatafa, ArjumandPark, Choonkil
Issue Date
May-2023
Publisher
SPRINGER
Keywords
Fixed point; New generalized Nashine-Wardowski-Feng-Liu-type contraction; Dominated multivalued mappings; Integral equation; Fractional differential equation; Orbital b-metric space
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2023, no.1, pp.1 - 16
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume
2023
Number
1
Start Page
1
End Page
16
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/189352
DOI
10.1186/s13660-023-02968-4
ISSN
1025-5834
Abstract
In this article, we prove some novel fixed-point results for a pair of multivalued dominated mappings obeying a new generalized Nashine–Wardowski–Feng–Liu-type contraction for orbitally lower semi-continuous functions in a complete orbital b-metric space. Furthermore, some new fixed-point theorems for dominated multivalued mappings are established in the scenario of ordered complete orbital b-metric spaces. Some examples are offered to demonstrate the validity of our new results’ premise. To demonstrate the applicability of our findings, applications for a system of nonlinear Volterra-type integral equations and fractional differential equations are shown. These results extend the theoretical results of Nashine et al.
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