TY - CHAP
T1 - A Study of Fixed Point Results in G-Metric Space via New Contractions with Applications
AU - Jiddah, Jamilu A.
AU - Işık, Hüseyin
AU - Alansari, Monairah
AU - Shagari, Mohammed S.
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.
PY - 2024
Y1 - 2024
N2 - In this manuscript, some novel classes of (G-α-ϕ)-contractions are introduced in the framework of generalized metric space and related fixed point results are obtained, which do not collapse to similar ones in metric spaces. These classes of mappings are dominant in the sense that they subsume a few known results in the literature. A comparative example is presented to verify the claims of the main results obtained and to differentiate them from the existing ones. Thereafter, a few special cases which scale down our results to some prominent ones in the literature are highlighted and analyzed. As an application, our main result is used to construct new existence criteria for the solution of a boundary value problem.
AB - In this manuscript, some novel classes of (G-α-ϕ)-contractions are introduced in the framework of generalized metric space and related fixed point results are obtained, which do not collapse to similar ones in metric spaces. These classes of mappings are dominant in the sense that they subsume a few known results in the literature. A comparative example is presented to verify the claims of the main results obtained and to differentiate them from the existing ones. Thereafter, a few special cases which scale down our results to some prominent ones in the literature are highlighted and analyzed. As an application, our main result is used to construct new existence criteria for the solution of a boundary value problem.
UR - http://www.scopus.com/inward/record.url?scp=85200501823&partnerID=8YFLogxK
U2 - 10.1007/978-981-99-9546-2_10
DO - 10.1007/978-981-99-9546-2_10
M3 - Chapter
AN - SCOPUS:85200501823
T3 - Industrial and Applied Mathematics
SP - 241
EP - 263
BT - Industrial and Applied Mathematics
PB - Springer
ER -