Fixed point results for self-mappings in $2$-normed spaces
محورهای موضوعی : Operator theory
1 - Department of Mathematics, Raiganj Uniyersity, Raiganj (West Bengal), India
2 - Department of Mathematics, Raiganj University, Raiganj (West Bengal), India
کلید واژه: 2-normed spaces, fixed point, 2-Banach spaces, contraction mappings, nonexpansive mappings.,
چکیده مقاله :
This paper presents an extension and generalization of key results in fixed point theory by formulating common fixed point theorems for various forms of self-mappings within closed subsets of linear 2-Banach spaces. The analysis addresses the existence and uniqueness of common fixed points in several settings, including individual mappings, pairs of mappings, their positive powers, and sequences of self-mappings.
This paper presents an extension and generalization of key results in fixed point theory by formulating common fixed point theorems for various forms of self-mappings within closed subsets of linear 2-Banach spaces. The analysis addresses the existence and uniqueness of common fixed points in several settings, including individual mappings, pairs of mappings, their positive powers, and sequences of self-mappings.
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