Equivalence of some results and fixed-point theorems in S-multiplicative metric spaces

Fixed Point Theory and Applications Pub Date : 2024-01-03 DOI:10.1186/s13663-023-00756-9

Olusola Kayode Adewale, Samuel Olusola Ayodele, Babatunde Eriwa Oyelade, Emmanuella Ehui Aribike

引用次数: 0

Abstract

In this paper, some fixed-point theorems are stated and proved in S-multiplicative metric spaces. We also show in this paper that some fixed-point results for various S-multiplicative metric spaces are equivalent to those of corresponding fixed-point results in S-metric spaces. Some examples are presented to validate the originality and applicability of our main results.

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S-乘法度量空间中一些结果和定点定理的等价性

本文阐述并证明了 S 多乘度量空间中的一些定点定理。本文还证明了各种 S 多乘度量空间的一些定点结果等同于 S 度量空间中的相应定点结果。本文列举了一些例子来验证我们主要结果的原创性和适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fixed Point Theory and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： In a wide range of mathematical, computational, economical, modeling and engineering problems, the existence of a solution to a theoretical or real world problem is equivalent to the existence of a fixed point for a suitable map or operator. Fixed points are therefore of paramount importance in many areas of mathematics, sciences and engineering. The theory itself is a beautiful mixture of analysis (pure and applied), topology and geometry. Over the last 60 years or so, the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular, fixed point techniques have been applied in such diverse fields as biology, chemistry, physics, engineering, game theory and economics. In numerous cases finding the exact solution is not possible; hence it is necessary to develop appropriate algorithms to approximate the requested result. This is strongly related to control and optimization problems arising in the different sciences and in engineering problems. Many situations in the study of nonlinear equations, calculus of variations, partial differential equations, optimal control and inverse problems can be formulated in terms of fixed point problems or optimization.