Abstract This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence uniqueness theorem concerning common best proximity points. A certain kind boundary value problem involving the so-called Caputo derivative can be formulated so that our result applies.

In This paper, we generalize and obtain common fixed point theorems for a pair of mappings satisfying generalized multi-valued type contractive condition in the setting of cone metric spaces with normal constant 1.Our results generalize the recent results of varies authors.

We define the concept of βℱL-admissible for a pair of L-fuzzy mappings and establish the existence of common L-fuzzy fixed point theorem. Our result generalizes some useful results in the literature. We provide an example to support our result.

We prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings via common limit range property. Our result improves some results from the existing literature, especially the ones contained in Sintunavarat and Kumam (2009). Some illustrative and interesting examples to highlight the realized improvements are also furnished.

This paper aims to prove common fixed point theorems for a pair of hybrid and p-hybrid mappings via limit range property in G-metric space setting. The
 proved here will generalise the results due Nashine et al. [35], Karapinar [23, 24] from metric notion that Mustafa et
 al.[30] using (CLRf ) concept space, many others this We also provided an illustrative example validate results.

In this paper, we establish a common fixed point theorem for pair of quasi triangular α-orbital admissible with an interpolative (φ, ψ)- Banach-Kannan-Chatterjea type Z-contraction mappings respect to simulation function in complete metric space. An illustrative example is furnished validate our main result. Our result extends the M. S. Khan et al. [15]. As application, provide existence soluti...

In this paper, an idea of generalized fuzzy c-distance in fuzzy cone metric space is introduced. A common fixed point theorem is established for a pair of self mappings in fuzzy cone metric spaces by using the concept of generalized fuzzy c-distance. 2010 AMS Classification: : 54A40, 03E72

The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-normed spaces. Also we gave some remarks on fuzzy n-normed spaces.

Abstract The main purpose of this paper is to present some fixed-point results for a pair fuzzy dominated mappings which are generalized V -contractions in modular-like metric spaces. Some theorems using partial order discussed and also useful graphic contractions fuzzy-graph developed. To explain the validity our results, 2D 3D graphs have been constructed. Also, applications provided show nov...