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The purpose of this paper is to give the affirmative answers to these questions mentioned above.
The purpose of this article is to give the affirmative answers to these questions mentioned above.
In this paper, we give the affirmative answers to the above two questions.
The purpose of this article is to give the affirmative answers to these questions mentioned above, motivated by Yamada [19], Tian [20] and Ceng et al. [21], we introduce a general iterative method for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of some variational inequality.
The following theorem gives the affirmative answers to these question mentioned above.
In 1941, Hyers [2] gave the first affirmative answer to the question of Ulam for Banach spaces.
Hyers [13] gave the first affirmative answer to Ulam's question in the case of a Cauchy functional equation in Banach spaces.
As a consequence, we can replace the Banach contractions in Theorem 2.2 (above) by the Reich contractions, thus give an affirmative answer to the above-mentioned open question (i.e., Question 2.1).
Now, there arises a natural question: "which optimal class of mappings will do the job?" The present article is an attempt to give an affirmative answer of the above question.
The main purpose of this work is to give an affirmative answer to the above question under sharp assumptions on the coefficients appearing in (1)–(2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com