The aim of this paper is to extend some fixed point results from [Serban, M. A., Teoria punctului fix pentru operatori definiti pe produs cartezian, Presa Universitar˘a Clujeana Cluj–Napoca, 2002] and [Presic, S. B., Sur une classe d’ inequations aux differences finite et sur la convergence de certaines suites, Publ. Inst. Math. (Beograd) (N. S.). 5(19) (1965), 75-78] in the framework b-metric ...

Almost-Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e., almost-contact B-metric which is obtained from a cosymplectic manifold of the considered type by means conformal transformation Reeb vector field, its dual 1-form, B-metric, associated B-metric. The potential soliton assumed to be in vertical distribution, it collinear field. In this way, ...

We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrović in their paper “A Proposal for Revisiting Banach Caristi Type Theorems b-Metric Spaces”. also characterize the completeness of b-metric spaces with help variant contractivity condition introduced authors aforementioned article.

introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

The current study attempts to identify a new generalized metric space structure, referred as partial modular b−metric, that extends both via b−metric and explains the topological aspects of implementing examples. In addition, contraction mapping modified interpolative almost E−type is determined, which an interpretation bestowed with E−contraction well simulation function fixed point theorem en...

The aim of this paper to obtain completeness and uniqueness of fixed point theorem on b-metric space. In this paper we show that different contractive type mapping exist in b-metric space.

In this paper, we prove a Sehgal–Guseman-type fixed point theorem in b-rectangular metric spaces which provides complete solution to an open problem raised by Zoran D. Mitrovi? (A note on Banach’s space and b-metric space). The result presented the paper generalizes unifies some results theory.

In this paper, we introduce the notion of an ordered rational proximal contraction in partially ordered b-quasi metric spaces. We shall then prove some best proximity point theorems in partially ordered b-quasi metric spaces.

In this paper, we give the idea of a generalized c-distance in a cone b-metric space. Then, we prove some common fixed point and fixed point theorems in cone b-metric spaces by using the distance.

*Correspondence: [email protected] 2School of Mathematics and Computer, Gannan Normal University, Ganzhou, 341000, China Full list of author information is available at the end of the article Abstract In this paper we present some new examples in cone b-metric spaces and prove some fixed point theorems of contractive mappings without the assumption of normality in cone b-metric spaces. The res...