Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the...

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...

A known general program, designed to endow the quotient space U / B of unitary groups , C ∗ algebras ⊂ with an invariant Finsler metric, is applied obtain a metric for I ( H ) partial isometries Hilbert . group × where algebra bounded linear operators in Under this solution best approximation problem leads computation minimal geodesics space. We find solutions problem, and study properties obta...

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...

In this study, PPF dependent fixed point theorems are proved for a nonlinear operator, where the domain space $C[[a, b], E]$ is distinct from range space, $E$, which Strong Partial b-metric (SPbMS). We obtain existence and uniqueness of results defined mappings under SPbMS. Our extension in Examples provided support results.

In the present paper, we refine notion of partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate occurrence discrepancies in non-zero self-distance triangular inequality. support this, discuss non-trivial examples. Finally, prove a common fixed-point theorem for four self-mappings space an application our result; existence solution system Volterra integral equations is discuss...

we obtain two fixed point theorems for a kind of $varphi $-contractions incomplete fuzzy metric spaces, which are applied to easily deduceintuitionistic versions that improve and simplify the recent results of x.huang, c. zhu and x. wen.

in this paper,  the concept of fuzzy metric-like spaces is introduced which generalizes  the notion of fuzzy metric spaces given by george and veeramani cite{vee1}. some fixed point results for fuzzy contractive mappings on fuzzy metric-like spaces are derived. these results generalize several comparable results from the current literature. we also provide illustrative examples in support of ou...

We prove that the dimension $h^{1,1}_{\overline\partial}$ of space Dolbeault harmonic $(1,1)$-forms is not necessarily always equal to $b^-$ on a compact almost complex 4-manifold endowed with an Hermitian metric which locally conformally K\"ahler. Indeed, we provide examples non integrable, K\"ahler, structures 4-manifolds $h^{1,1}_{\overline\partial}=b^-+1$. This answers question by Holt.