Fawzia Shaddad

Fixed Point Results in Quasi-Cone Metric Spaces

The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. This is achieved by introducing different kinds of Cauchy sequences in quasi-cone metric spaces.

Coupled point results in partially ordered metric spaces without compatibility

AbstractThe existence of fixed points, coupled fixed points, and coupled coincidence points without the assumption of compatibility is established. The results presented in this paper extend, improve, and generalize some well-known results in the literature. Also, an example is given to show that our results are real generalizations of known ones in coupled coincidence fixed point theory. MSC:54H25, 47H10.

Some fixed point results in cone metric spaces

In this paper we prove the existence of unique fxed point and common fixed points of self-mappings in cone metric spaces. We also, extend, unify and generalize several well known comparable results in the existing literature. An example is provided to elucidate the result.

Common fixed-point results for generalized Berinde-type contractions which involve altering distance functions

AbstractIn this paper, the existence and the uniqueness of a common fixed point for two self-mappings satisfying some generalized Berinde-type contractions which involve an altering distance function with λ∈[0,1] is established. Our theorems extend, unify, and generalize several existing results in the literature. An application of an integral equation is presented. MSC:54H25, 54C60, 54E50.

Common fixed point results of Ciric-Suzuki-type inequality for multivalued maps in compact metric spaces

The aim of this paper is to introduce a new type of multivalued operators similar to those of Ciric-Suzuki type. A common fixed point theorem for multivalued maps on metric spaces satisfying Ciric-Suzuki-type inequality is proved. Applications to certain functional equations arising in dynamic programming are also discussed.MSC:54E50, 54H25, 45G05.

A common fixed point theorem of weak contraction mappings on partially ordered quasi metric space

The fixed point theorem on weak contraction mapping in partially ordered quasi metric space was presented in previous work. This theorem has provided generalization results from fixed point on weakly contractive that uses altering distance function. In this paper, we prove a common fixed point of contraction mapping on partially ordered quasi metric space. As a comparison, we also present the shorter proof of this theorem.The fixed point theorem on weak contraction mapping in partially ordered quasi metric space was presented in previous work. This theorem has provided generalization results from fixed point on weakly contractive that uses altering distance function. In this paper, we prove a common fixed point of contraction mapping on partially ordered quasi metric space. As a comparison, we also present the shorter proof of this theorem.

A fixed point theorem on partially ordered cone metric space with c – distance

The aim of this paper is to prove generalized fixed point theorems on partially ordered cone metric space with c - distance by replacing the constants in contractive condition with functions. The result extends some well-known result in the literatures. After that, we provide an example that satisfies our theorems.