New classes of control functions for nonlinear contractions and applications

Maher BERZİG

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New classes of control functions for nonlinear contractions and applications

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摘要

We initiate the use of sub and super homogeneous control functions for nonlinear contractions in complete metric spaces and establish new fixed point theorems. Moreover, we develop other variants of control functions for the fixed point theorems of Boyd-Wong 2 and Matkowski 3. As application, we present new sufficient conditions ensuring the existence of solutions to some classes of integral equations of Fredholm and Volterra type.

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《Advances in the Theory of Nonlinear Analysis and its Applications》 |2023年第1期|29-40|共12页
作者
Maher BERZİG;
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作者单位

University of Tunis;

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原文格式 PDF
正文语种英语
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关键词
Fixed Point Theorems; Contraction-type mappings; Fredholm and Volterra integral equations;

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New classes of control functions for nonlinear contractions and applications

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