The Fixed Point Theory for Some Generalized Nonexpansive Mappings
Enrique Llorens-fuster2011, Abstract and Applied Analysis
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Abstract
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This paper discusses the fixed point theory associated with generalized nonexpansive mappings within Banach spaces. It emphasizes the relationship between the fixed point property (FPP) and the geometric features of these spaces, particularly under various structural conditions such as uniform convexity and the Opial condition. The results presented extend classical fixed point results by demonstrating the unique fixed point existence in weakly compact convex subsets and the implications for mappings satisfying specific conditions.
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