In this paper, we present the concept of conventional $F_G$-contraction and prove results a new coincidence point for multi-valued in b-metric spaces endowed with digraph $G.$

Neural networks expanded to complex domains have recently been studied in the field of computational intelligence. Complex-valued neural networks are effective for learning the relationships between complex inputs and outputs, and applications to complex analysis and complex image processing have been studied (Hirose, 2006). In addition, the effectiveness of the computational complexity and the...

The purpose of this paper is to study common fixed point theorems for six (four single-valued and two set-valued) mappings in fuzzy metric space using general contractive condition of integral type, without assuming compatibility and continuity of any mapping on non complete metric spaces. To prove the theorems, we use a non compatible condition, that is, weak commutativity of type (Kh)in fuzzy...

In this paper, we introduce the notion of (?,F)-contractive multi-valued mappings in setting uniform spaces. Some fixed point and common theorems for endowed with spaces are established. The existence uniqueness points by using structure is discussed detail. We set up a non-trivial example elaboration these novel results. eventually, an application also provided to elaborate applicability our

In this paper, we established a new class of almost \((\alpha/\eta)\)-\(\psi_\Gamma\)-contraction mapping in induced fuzzy metric space (FMS) and then proved the results for existence fixed point theorem (FPT) multi-valued mappings (MVMs) on collection non-empty closed subsets. application, prove Fredholm integral inclusion (FII). An illustrative example also introduced support our main result.

Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections. This class contains continuous mappings as well as fully lower semicontinuous closed convex-valued mappings that arise in variational analysis and optimization of integral functionals. The characterization allo...

in this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is riesz space valued. we prove some common fixed point theorems for three mappings in this space. obtained results extend and generalize well-known comparable results in the literature.

Let (X, d, ) be a partially ordered metric space. Let F, G be two set valued mappings and f , g two single valued mappings on X . We obtained sufficient conditions for existence of common fixed point of F , G, f and g satisfying an implicit relation in X .

* Correspondence: [email protected] Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran Full list of author information is available at the end of the article Abstract In this paper, an iterative sequence for relatively nonexpansive multi-valued mappings by using the notion of generalized projection is introduced, and th...