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

Autor:	Tahair Rasham, Muhammad Sajjad Shabbir, Muhammad Nazam, Arjumand Musatafa, Choonkil Park
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Fixed point New generalized Nashine–Wardowski–Feng–Liu-type contraction Dominated multivalued mappings Integral equation Fractional differential equation Orbital b-metric space Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-16 (2023)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-023-02968-4
Popis:	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. (Nonlinear Anal., Model. Control 26(3):522–533, 2021).
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/da31ba6a1bf64ef784b0e5cd782cbc17 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.