FIXED POINT CURVES FOR NON-EXPANSIVE MAPPINGS IN 2-BANACH SPACES

Riyas P; Shiju George; P. K. Harikrishnan

doi:10.56947/gjom.v20i.2934

FIXED POINT CURVES FOR NON-EXPANSIVE MAPPINGS IN 2-BANACH SPACES

Riyas P
, Shiju George
, P. K. Harikrishnan

Research output: Contribution to journal › Article › peer-review

Abstract

“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.”.

Original language	English
Pages (from-to)	330-337
Number of pages	8
Journal	Gulf Journal of Mathematics
Volume	20
Issue number	1
DOIs	https://doi.org/10.56947/gjom.v20i.2934
Publication status	Published - 14-06-2025

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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Cite this

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abstract = "“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{\textquoteright}s fixed point theorem within the context of 2-Banach spaces, thereby extending classical fixed point results to this broader framework.”.",

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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.”.

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FIXED POINT CURVES FOR NON-EXPANSIVE MAPPINGS IN 2-BANACH SPACES

Abstract

All Science Journal Classification (ASJC) codes

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