solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看15322次
Best proximity point results for almost contraction and application to nonlinear differential equation. (arXiv:1810.07624v1 [math.FA])
来源于:arXiv
Brinde [Approximating fixed points of weak contractions using the Picard
itration, Nonlinear Anal. Forum 9 (2004), 43-53] introduced almost contraction
mappings and proved Banach contraction principle for such mappings. The aim of
this paper is to introduce the notion of multivalued almost $\Theta$-
contraction mappings and present some best proximity point results for this new
class of mappings. As applications, best proximity point and fixed point
results for weak single valued $\Theta$-contraction mappings are obtained. An
example is presented to support the results presented herein. An application to
a nonlinear differential equation is also provided. 查看全文>>