In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions Geraghty type. Additionally, in 2021, Beg concept generalized F-proximal contraction first kind and second kind, respectively. After developing these concepts, authors mainly studied best proximity points for classes mappings. this short note, we prove that problem existence said proximal is equivalent to ...

In this paper, we introduce the notions of fuzzy $alpha$-Geraghty contraction type mapping and fuzzy $beta$-$varphi$-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known ...

In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of  rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric spaces are investigated. Then, we prove some fixed point theorems under various contractive conditions in partially ordered $b_2$-metric spaces...

Let M be a module over Noetherian local ring A. We study M-independent sequences of elements the maximal ideal mA in sense Lech and Hanes. The main tool is new characterization M-independence sequence terms associated Koszul complex. As applications, we give result linkage theory, freeness criterion for existence strongly length equal to embedding dimension edim(A) A, another inspired from patc...

Excerpt] Revenue management (RM) has been practiced in the airline (Smith, Leimkuhler,& Darrow, 1992),hotel (Hanks, Noland, & Cross, 1992),and car rental industries (Carroll & Grimes, 1995; Geraghty & Johnson, 1997) for over 15 years, and has more recently attracted attention in other industries, including broadcasting, golf (Kimes, 2000), health care (Born et al., 2004), and restaurants (Kimes...

Anxiety and depression have been documented as top mental health issues that impede college students’ academic performance National Alliance on Mental Illness [NAMI] [1]; Pedrelli, Nyer, Yeung, Zulauf, and Wilens, [2]. More than 80% of college students have felt overwhelmed by college-related tasks and more than 50% have felt extremely anxious about their academic struggles in the past year. Al...