Fixed point theorems for a class of maps in normed Boolean vector spaces

Abstract

In this article, we obtain some fixed and common fixed point theorems for a class of maps on normed Boolean vector spaces satisfying the property (E.A) without using continuity. Our results extend and unify some known results.

Some Common Fixed Point Results in Modular Ultrametric Space Using Various Contractions and Their Application to Well-Posedness

“…Recently, Gajic [25] used generalized contractive conditions to establish fixed-point results in an ultrametric space. The authors of [26] presented sufficient conditions for coincidence points for three and four self-maps using generalized contractive conditions; for more details, refer to the articles [27,28], and references therein. Alaca et al (2016) established fixed point results for modular ultrametric spaces (see [29]).…”