Coupled Fixed Point Theorems in Partially Ordered Metric Space

Abstract: - There is several generalization of Banach contraction principle. Recently Bhaskaran and Lakshmikantham generalized this result and prove coupled fixed point theorems in ordered metric space. In this present work, we proof some coupled fixed point theorems in ordered metric space. Key words: - Ordered Metric Space, Fixed point, Coupled Fixed point, mixed monotone property

A Common Fixed Point of Integral Type Contraction in Generalized Metric Spacess

In this paper, we present a common fixed point theorem for two self-mappings satisfying a contractive condition of integral type in G- metric spaces. Our result generalizes some well-known results

Fixed points and lines in 2-metric spaces

We consider bounded 2-metric spaces satisfying an additional axiom, and show that a contractive mapping has either a fixed point or a fixed line.Comment: adds reference

A common fixed point theorem for two weakly compatible pairs in G-metric spaces using the property E.A

n/

Fixed point results for Gm-Meir-Keeler contractive and G-(α,ψ)-Meir-Keeler contractive mappings

n/

Nonlinear generalized cyclic contractions in complete G-metric spaces and applications to integral equations

In this paper we introduce generalized cyclic contractions in G-metric spaces and establish some fixed point theorems. The presented theorems extend and unify various known fixed point results. Examples are given in the support of these results. Finally, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is given

On common fixed points in G-metric spaces using (E.A) property

AbstractIn this paper, we introduce some new types of pairs of mappings (f,g) on G-metric spaces called G-weakly commuting of type Gf and G–R-weakly commuting of type Gf. We obtain also several common fixed point results by using the (E.A) property

Existence of Fixed Point Results in -Metric Spaces

The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on -metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of -metric spaces