In this paper, we define the concept of compatible and weakly compatible mappings in b-metric spaces and inspired by the Ciric and et. al method, we produce appropriate conditions for given the unique common fixed point for a family of the even number of self-maps with together another two self-maps in a complete b-metric spaces. Also, we generalize this common fixed point theorem for a seq...

In this paper, we introduce the notion of an extended metric space ($p$-metric space) as a new generalization of the concept of $b$-metric space. Also, we present the concept of $(psi ,varphi )_{Omega}$-contractive mappings and we establish some fixed point results for this class of mappings in ordered complete $p$-metric spaces. Our results generalize several well...

in this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. our results generalize kannan and chatterjea fixed point theorems on complete $b$-metric spaces. in particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. we also give some examples to illustrate the given results.

In this paper we find out explicit solutions of the Betchov–Da Rios soliton equation in a principal circle bundle π : P → M on a surface M . If P is endowed with a generalized Kaluza–Klein metric ḡu, we show that the complete lift of any curve γ is a solution of the Betchov–Da Rios equation if and only if the function u restricted to γ is just the curvature of γ . Some interesting applications ...

Suppose that (M, G) is a Riemannian manifold and f : M → R is a submersion. Then the complete lift of f, f : TM → R defined by f = ∂f ∂xi y is also a submersion. This interesting case leads us to the investigation of the level hypersurfaces of f as a submanifold of tangent bundle TM . In addition, we prolonge the level hypersurfaces of f to N̄ = (f)(0). Also, under the condition ∇̂f is a constant...

The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, ${0})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical ideals are not, in general, intersections of closed prime ideals. Moreover, $B$ is known to be complete in its metric. Togethe...

Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...

Considering pseudo-Riemannian $g$-natural metrics on tangent bundles, we prove that the condition of being Ricci soliton is hereditary in sense a structure bundle gives rise to base manifold. Restricting ourselves some class metrics, show if and only manifold flat potential vector field complete lift conformal field. We give then classification fields Riemannian When unit bundles over constant ...

In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete M-fuzzy metric spaces.