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The main aim of this work is to study multivalued HR-type interpolative contraction and multivalued P-contraction through (H,F)-contraction and C-class function, respectively via Maia type result in b-metric spaces setting. Moreover, by using the notion of multi-valued triangular α-admissible mappings of type Δ, we have investigated our new findings. Some related fixed point results for such mappings are also proved in this set-up. Our results extend, generalize and modify many famous results that exist in the literature. We furnish an example to justify our new findings. As an application, we implement our results in data dependence and stability of fixed point. [ABSTRACT FROM AUTHOR]

The purpose of this work is to introduce the new concept of a hybrid JS-contraction in b-metric spaces which includes various contractions in such spaces. The existence and uniqueness of a fixed point for self mappings satisfying the proposed contractive condition on b-metric spaces are studied. As an application, the existence result of a unique solution for integral equations is also given in order to illustrate the effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]

In this paper, we introduce an extension of metric spaces, which includes S spaces. Some properties of this topological structure are analyzed. Also, a non-compactness measure and condensing correspondences are defined for these type of spaces and natural results are obtained. Moreover, fixed point theorems for functions and correspondences satisfying certain Banach orbital condition are introduced and proved. These results are applied to contractions, which are defined by means of the extended quasi-metric, both for functions and correspondences. [ABSTRACT FROM AUTHOR]

Here, the concept of continuous s-point space is introduced in b-metric spaces. Under suitable assumptions, these spaces are absolute retracts and a generalization of the continuous mid-point spaces. Moreover, an important fixed point theorem is proved for nonexpansive mappings in continuous s-point spaces. [ABSTRACT FROM AUTHOR]

A new concept of set-valued Mizoguchi-Takahashi G-contractions is introduced in this paper and some fixed point theorems for such mappings in b-metric spaces endowed with directed graphs are established under some suffcient conditions. Our results improve and extend those of [20] and [24]. We also give some examples supporting our main results. As an applications, we prove the existence of fixed points for multivalued mappings satisfying generalized MT-contractive condition in ϵ-chainable b-metric spaces and the existence of a solution for some integral equations. [ABSTRACT FROM AUTHOR]

We generalize various types of F-contractions defined by Wardowski, Vetro and others to b-metric spaces and prove fixed point theorems for them. The examples given show that these generalizations extend the existing results in a significant way. [ABSTRACT FROM AUTHOR]