In this paper, we introduce and characterize the concept of fuzzy almost generalized $e$-continuous mappings. Several interesting properties of these mappings are also given. Examples and counter examples are also given to illustrate the concepts introduced in the paper. We also introduce the concept of fuzzy $f T_{frac{1}{2}}e$-space, fuzzy $ge$-space, fuzzy regular $ge$-space and  fuzzy gener...

In this paper, we introduce a notion of convex F-contraction and establish some fixed point results for such contractions in b-metric spaces. Moreover, give supportive example to show that our is quite different from the used existing literature since does not necessarily contain continuous mapping but contains mapping. addition, via facts, claim indeed generalize improve previous literature.

In this paper, we introduce the new definitions and fixed-point theorems for \((\hat{\alpha}-\hat{\psi})\)-Geraghty contraction with an aid of simulation function \(\zeta:[0, \infty) \times[0, \rightarrow \mathbb{R}\) in generalized metric space satisfying following condition:if \(\exists \hat{\beta} \in \mathcal{F}\) such that all \(r, s \mathfrak{X}\), then have\(\zeta[\hat{\alpha}(r, s)(d(\m...

In this study, we introduce a new notion, so-called KW-type F-contraction mapping, inspired by the ideas of Wardowski and Klim–Wardowski. Then, investigate existence best proximity point for such mappings considering family, which is larger than family functions that often used in fixed-point results multivalued mappings. To demonstrate effectiveness our result, also give comparative example to...

In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach’s fixed point theorem is obtained under the completeness condition of the space. Moreover, it is established that using such contraction principle completeness of the generalized metric space can be characterized.

The concept of partial metric which is a generalized metric space was introduced by Matthews 1 in 1994, inwhich the distance between two identical elements needs not be zero. The existence of fixed point for contraction-type mappings on such spaces was considered by many authors 1–12 . A modified version of a Banach contraction mapping principle, more suitable to solve certain problems arising ...

In this paper, we will prove several new results related to the concept of multi-valued Feng–Liu contraction. An existence, approximation and localization fixed point theorem for a generalized nonself contraction contractions in vector-valued metric spaces are proved. Stability an application system operatorial inclusions also given.

For a family of graphs F , the F-Contraction problem takes as an input a graph G and an integer k, and the goal is to decide if there exists S ⊆ E(G) of size at most k such that G/S belongs to F . Here, G/S is the graph obtained from G by contracting all the edges in S. Heggernes et al. [Algorithmica (2014)] were the first to study edge contraction problems in the realm of Parameterized Complex...