TY - JOUR
T1 - Ulam–Hyers Stability and Well-Posedness of Fixed Point Problems in C*-Algebra Valued Bipolar b-Metric Spaces
AU - Kumar, Manoj
AU - Kumar, Pankaj
AU - Mutlu, Ali
AU - Ramaswamy, Rajagopalan
AU - Abdelnaby, Ola A.Ashour
AU - Radenović, Stojan
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/5
Y1 - 2023/5
N2 - Here, we shall introduce the new notion of (Formula presented.) -algebra valued bipolar b-metric spaces as a generalization of usual metric spaces, (Formula presented.) -algebra valued metric space, b-metric spaces. In the above-mentioned spaces, we shall define (Formula presented.) contractions and prove some fixed point theorems for these contractions. Some existing results from the literature are also proved by using our main results. As an application Ulam–Hyers stability and well-posedness of fixed point problems are also discussed. Some examples are also given to illustrate our results.
AB - Here, we shall introduce the new notion of (Formula presented.) -algebra valued bipolar b-metric spaces as a generalization of usual metric spaces, (Formula presented.) -algebra valued metric space, b-metric spaces. In the above-mentioned spaces, we shall define (Formula presented.) contractions and prove some fixed point theorems for these contractions. Some existing results from the literature are also proved by using our main results. As an application Ulam–Hyers stability and well-posedness of fixed point problems are also discussed. Some examples are also given to illustrate our results.
KW - C-algebra valued bipolar b-metric space
KW - Ulam–Hyers stability
KW - contravariant mapping
KW - covariant mapping
KW - fixed points
KW - well-posdeness
UR - http://www.scopus.com/inward/record.url?scp=85160565778&partnerID=8YFLogxK
U2 - 10.3390/math11102323
DO - 10.3390/math11102323
M3 - Article
AN - SCOPUS:85160565778
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 10
M1 - 2323
ER -