New fixed point results in b-rectangular metric spaces

In this work, the class of b-rectangular metric spaces is introduced, some fixed point results dealing with rational type contractions and almost generalized weakly contractive mappings are obtained. Certain examples are given to support the results

Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces

In this work, using the concepts of G-metric and b-metric we define a new type of metric which we call Gb-metric. We study some basic properties of such metric. We also prove a common fixed point theorem for six mappings satisfying weakly compatible condition in complete partially ordered Gb-metric spaces. A nontrivial example is presented to verify the e ectiveness and applicability of our main result.http://www.pmf.ni.ac.rs/filomathb201

Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications

We first introduce a new concept of b-dislocated metric space as a generalization of dislocated metric space and analyze different properties of such spaces. A fundamental result for the convergence of sequences in b-dislocated metric spaces is established and is employed to prove some common fixed point results for four mappings satisfying the generalized weak contractive condition in partially ordered b-dislocated metric spaces. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results.The Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah.http://www.journalofinequalitiesandapplications.comhb2016Mathematics and Applied Mathematic

Fixed point theorems for weakly T-Chatterjea and weakly T-Kannan contractions in b-metric spaces

In this work, we obtain some fixed point results for generalized weakly T-Chatterjea-contractive and generalized weakly T-Kannan-contractive mappings in the framework of complete b-metric spaces. Examples are provided in order to distinguish these results from the known ones.Scopu

Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems

We unify the concepts of G-metric, metric-like, and b-metric to define new notion of generalized b-metric-like space and discuss its topological and structural properties. In addition, certain fixed point theorems for two classes of G-α-admissible contractive mappings in such spaces are obtained and some new fixed point results are derived in corresponding partially ordered space. Moreover, some examples and an application to the existence of a solution for the first-order periodic boundary value problem are provided here to illustrate the usability of the obtained results

Existence of a tripled coincidence point in ordered Gb-metric spaces and applications to a system of integral equations

In this paper, tripled coincidence points of mappings satisfying some nonlinear contractive conditions in the framework of partially ordered G b-metric spaces are obtained. Our results extend the results of Aydi et al. (Fixed Point Theory Appl., 2012:101, 2012, doi:10.1186/1687-1812-2012- 101). Moreover, some examples of the main result are given. Finally, some tripled coincidence point results for mappings satisfying some contractive conditions of integral type in complete partially ordered Gb-metric spaces are deduced. 2013 Mustafa et al.; licensee Springer.Scopu

Existence of a tripled coincidence point in ordered Gb-metric spaces and applications to a system of integral equations

In this paper, tripled coincidence points of mappings satisfying some nonlinear contractive conditions in the framework of partially ordered G b-metric spaces are obtained. Our results extend the results of Aydi et al. (Fixed Point Theory Appl., 2012:101, 2012, doi:10.1186/1687-1812-2012- 101). Moreover, some examples of the main result are given. Finally, some tripled coincidence point results for mappings satisfying some contractive conditions of integral type in complete partially ordered Gb-metric spaces are deduced. 2013 Mustafa et al.; licensee Springer.Scopu

A Unification of G-Metric, Partial Metric, and b-Metric Spaces

Using the concepts of G-metric, partial metric, and b-metric spaces, we define a new concept of generalized partial b-metric space. Topological and structural properties of the new space are investigated and certain fixed point theorems for contractive mappings in such spaces are obtained. Some examples are provided here to illustrate the usability of the obtained results