TY - JOUR
T1 - FIXED POINT CURVES FOR NON-EXPANSIVE MAPPINGS IN 2-BANACH SPACES
AU - P, Riyas
AU - George, Shiju
AU - Harikrishnan, P. K.
N1 - Publisher Copyright:
© 2025, Canadian University of Dubai. All rights reserved.
PY - 2025/6/14
Y1 - 2025/6/14
N2 - “This paper explores the existence and properties of fixed point curves for non-expansive mappings in 2-Banach spaces. We introduce the concept of a fixed point curve associated with weakly inward non-expansive mappings and provide sufficient conditions for its existence in 2-Banach spaces. Furthermore, we establish an analogue of Browder’s fixed point theorem within the context of 2-Banach spaces, thereby extending classical fixed point results to this broader framework.”.
AB - “This paper explores the existence and properties of fixed point curves for non-expansive mappings in 2-Banach spaces. We introduce the concept of a fixed point curve associated with weakly inward non-expansive mappings and provide sufficient conditions for its existence in 2-Banach spaces. Furthermore, we establish an analogue of Browder’s fixed point theorem within the context of 2-Banach spaces, thereby extending classical fixed point results to this broader framework.”.
UR - https://www.scopus.com/pages/publications/105009213682
UR - https://www.scopus.com/pages/publications/105009213682#tab=citedBy
U2 - 10.56947/gjom.v20i.2934
DO - 10.56947/gjom.v20i.2934
M3 - Article
AN - SCOPUS:105009213682
SN - 2309-4966
VL - 20
SP - 330
EP - 337
JO - Gulf Journal of Mathematics
JF - Gulf Journal of Mathematics
IS - 1
ER -