TY - JOUR
T1 - Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
AU - Shabir, Naila
AU - Raza, Ali
AU - Khan, Safeer Hussain
N1 - Publisher Copyright:
© 2025, Universidad Politecnica de Valencia. All rights reserved.
PY - 2025/4/1
Y1 - 2025/4/1
N2 - In this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is greater than one. Additionally, we provide results for interpolative Reich-Rus-Ćirić cyclic contractions specifically for cases where the sum of the interpolative exponents is greater than one. Furthermore, we verify our results with suitable examples. Our results are new and complement some results in the literature.
AB - In this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is greater than one. Additionally, we provide results for interpolative Reich-Rus-Ćirić cyclic contractions specifically for cases where the sum of the interpolative exponents is greater than one. Furthermore, we verify our results with suitable examples. Our results are new and complement some results in the literature.
KW - fixed point
KW - interpolative Kannan type cyclic contraction
KW - interpolative Reich-Rus-Ćirić type cyclic contraction
UR - https://www.scopus.com/pages/publications/105002345421
U2 - 10.4995/agt.2025.21350
DO - 10.4995/agt.2025.21350
M3 - Article
SN - 1576-9402
VL - 26
SP - 193
EP - 202
JO - Applied General Topology
JF - Applied General Topology
IS - 1
ER -