Josefa Caballero

A best proximity point theorem for Geraghty-contractions

The purpose of this paper is to provide sufficient conditions for the existence of a unique best proximity point for Geraghty-contractions.Our paper provides an extension of a result due to Geraghty (Proc. Am. Math. Soc. 40:604-608, 1973).

Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations

The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equations.

Chebyshev inequality for Sugeno integrals

In this paper we study Chebyshev inequality for Sugeno integrals on an arbitrary fuzzy measure space. Particularly, we obtain other Chebyshev type inequalities which relate the measure of a level set of the maximum and the sum of two non-negative integrable functions and their integrals. Finally, we apply our results to the case of comonotone functions.

Hermite-Hadamard inequality for fuzzy integrals

In this paper we prove a Hermite-Hadamard type inequality for fuzzy integrals. Some examples are given to illustrate the results.

Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions

We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. Our analysis relies on a fixed point theorem in partially ordered sets. Moreover, we compare our results with others that appear in the literature.

Sandor’s inequality for Sugeno integrals

Abstract In this paper we prove a fuzzy integral inequality for convex functions. Our results improve recent results that appear in literature. Some examples are given to illustrate our theorems.

Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order

We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: , , , , where denotes the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also given to illustrate the results.

Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary Value Problems

The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fourth-order boundary value problem: 𝑦(4)(𝑡)=𝑓(𝑡,𝑦(𝑡)), 𝑡∈[0,1], 𝑦(0)=𝑦(1)=𝑦(0)=𝑦(1)=0. Moreover, under certain assumptions, we will prove that the above boundary value problem has a unique symmetric positive solution. Finally, we present some examples and we compare our results with the ones obtained in recent papers. Our analysis relies on a fixed point theorem in partially ordered metric spaces.

A Markov-type inequality for seminormed fuzzy integrals

In this paper, we present a Markov-type inequality for seminormed fuzzy integrals and its connections with Chebyshevs inequality and other fundamental properties of the classical integral.

Existence of solutions for a fractional hybrid boundary value problem via measures of noncompactness in Banach algebras

We study the existence of solutions for the following fractional hybrid boundary value problem