Edelstein-suzuki-type results for self-mappings in various abstract spaces with application to functional equations

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• 作者：Stojan RADENOVIĆ^a ; ^{fixedpoint@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Peyman SALIMI^b ; ^{salimipeyman@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Calogero VETRO^c ; ^{cvetro@math.unipa.it" class="auth_mail" title="E-mail the corresponding author} ; Tatjana DO&Scaron ; ENOVIĆ^d ; ^{tatjanad@tf.uns.ac.rs" class="auth_mail" title="E-mail the corresponding author}
• 关键词：G-metric space ; G-cone metric space ; quasi-metric space ; fixed point ; Edelstein's theorem ; Suzuki's theorem
• 刊名：Acta Mathematica Scientia
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：36
• 期：1
• 页码：94-110
• 全文大小：315 K

文摘

The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.