Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-11-1_005
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly uniformly L-Lipschitzian mappings which inturn generalises uniformly L-Lipschitzian mappings. Our theorems include some very recent results in fixed point theory and applications, in the context of nearly uniformly L-Lipschitzian mappings.
Keywords:
Modified Mann iteration process , Banach space , Fixed point , I-nearly weak uniformly L-Lipschitzian