Some properties of generalized fundamentally nonexpansive mappings in Banach spaces
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 103
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شناسه ملی سند علمی:
JR_IJNAA-12-2_103
تاریخ نمایه سازی: 11 آذر 1401
چکیده مقاله:
In this paper, we introduce a condition on mappings and show that the class of these mappings is broader than both the class of mappings satisfying condition (C) and the class of fundamentally nonexpansive mappings, and it is incomparable with the class of quasi-nonexpansive mappings and the class of mappings satisfying condition (L). Furthermore, we present some convergence theorems and fixed point theorems for mappings satisfying the condition in the setting of Banach spaces. Finally, an example is given to support the usefulness of our results.
کلیدواژه ها:
fixed point ، fundamentally nonexpansive mappings ، generalized nonexpansive mappings ، Opial's condition ، Quasi-nonexpansive mappings ، uniformly convex in every direction Banach spaces ، weakly compact
نویسندگان
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Department of Mathematics, Faculty of Basic Sciences, Bu-Ali Sina University, Hamedan, Iran