The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.

In this paper, we define the concepts of modified intuitionistic probabilistic metric spaces, the property (E.A.) and  the common property (E.A.) in   modified  intuitionistic probabilistic metric spaces.Then, by the commonproperty (E.A.), we prove some common fixed point theorems in modified intuitionistic Menger probabilistic metric spaces satisfying an implicit relation.

What is the point at which the sum of (euclidean) distances to four fixed points in the plane is minimised? This extension of the celebrated location question of Fermat about three points was solved by Fagnano and others around 1750, giving the following simple geometric answer: when the fixed points form a convex quadrangle it is the intersection point of both diagonals, and otherwise it is th...

The main ‘philosophical’ outcome of this article is to demonstrate that the structural description of residuated lattices requires the use of the co-residuated setting. A construction, called skew symmetrization, which generalizes the well-known representation of an ordered Abelian group obtained from the positive (or negative) cone of the algebra is introduced here. Its definition requires lea...

Suppose X is a partially ordered real Banach space such that there is a 2−norm on X. The purpose of this paper is to prove coupled coincidence and coupled common fixed point theorems for mappings from X ×X to X.

All questions are implicitly associated with an expected answer type. Unlike previous approaches that require a predefined set of question types, we present a method for dynamically constructing a probability-based answer type model for each different question. Our model evaluates the appropriateness of a potential answer by the probability that it fits into the question contexts. Evaluation is...