Contractive Mapping in Generalized, Ordered Metric Spaces with Application in Integral Equations

Contractive Mapping in Generalized, Ordered Metric Spaces with Application in Integral Equations

Coupled fixed point on ordered cone metric spaces with application in integral equations

Our theorems are on ordered cone metric spaces which are not necessarily normal. In the end, we describe the application of the main results in the integral equation.Although Du in [W‎. ‎S‎. ‎Du‎, ‎A note on cone metric fixed point theory and its equivalence‎, ‎Nonlinear Analysis‎, ‎72(2010) 2259-2261.]‎, ‎showed that the fixed point results in the setting of cone...

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

Existence of fixed point in partially ordered sets has been considered recently in 1–17 . Tarski’s theorem is used in 9 to show the existence of solutions for fuzzy equations and in 11 to prove existence theorems for fuzzy differential equations. In 2, 6, 7, 10, 13 some applications to ordinary differential equations and to matrix equations are presented. In 3– 5, 17 some fixed point theorems a...

Coupled fixed point theorems involving contractive condition of integral type in generalized metric spaces

In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We furnish suitable illustrative examples. In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We f...

Coincidence point theorem in ordered fuzzy metric spaces and its application in integral inclusions

The purpose of this paper is to present some coincidence point and common  fixed point theorems for multivalued contraction maps in complete fuzzy  metric spaces endowed with a partial order. As an application, we give  an existence theorem of solution for general classes of integral  inclusions by the coincidence point theorem.