涉及Jaggi和pata型不等式的多值混合收缩

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS
Sirajo Yahaya, Mohammed Shehu Shagari, Tijjani Abba Ali
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引用次数: 0

摘要

本文从度量空间框架中jaggi型收缩、插值型收缩和pata型不等式的组合出发,定义了一个多值收缩的新概念,并在适当的假设下分析了这种收缩的不动点的存在性。满足插值压缩条件的单值映射的不动点不一定是唯一的,从而使得这些概念更适合于多值映射的不动点定理,这是形成本文背景的动机之一。一些突出的结果,包括单值情况,被强调和讨论,以表明我们提出的想法的重要性。并给出了一个比较实例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multivalued hybrid contraction that involves Jaggi and Pata-type inequalities
In this manuscript, a new concept of multivalued contraction is defined from a combination of Jaggi-type contractions, interpolative-type contraction and Pata-type inequality in the framework of metric space, and we analyze the existence of fixed points for such contractions equipped with some suitable hypotheses. One of the motivations forming the background of this paper is the fact that fixed point of a single-valued mapping satisfying the interpolative contractive condition is not necessarily unique, and thereby making the notions more appropriate for fixed point theorems of multi-valued mappings. A few salient consequences, including the single-valued cases are highlighted and discussed to indicate the significance of our proposed ideas. Also we give a comparative example.
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1.50
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