In this work, we will define a new type metric with degree m and m+ 1 points which is called
m-hemi metric as a generalization of two metric spaces. We will give and prove some …

In this paper, we consider several classes of map**s related to the class of α-ϝ-
contraction map**s by introducing a convexity condition and establish some fixed-point …

In this article, we define the octonion quadratic-phase Fourier transform (OQPFT) and derive
its inversion formula, including its fundamental properties such as linearity, parity …

This paper explores the existence and uniqueness of fixed points for cyclic (σ, λ)-admissible
generalized contraction type maps in complete b-metric spaces. Further, we apply it to a pair …

In this article, we are motivated by various fixed point theorems for different types of
orthogonal (φ, F) contractions in orthogonal Branciari (rectangular) b-metric spaces. We …

In this paper, we introduce the concept of orthogonal convex structure contraction map**
and prove some fixed point theorems on orthogonal♭-metric spaces. We adopt an example …

Within this manuscript, we present an innovative concept of contraction, building upon the
foundation laid by Jleli and Samet. Subsequently, we introduce the concept of θ …

New fixed point theorems in extended orthogonal S-metric spaces of type (µ,σ) with applications
to fractional integral equatio Page 1 Received September 16, 2024; Accepted October 22, 2024; …

In this paper, a new and generalized contraction principles are proved on complex-valued
metric space. By adopting a suitable hypothesis on sequence converging in complex-valued …

In this paper, we introduce the context of ℵ-Extended fuzzy bipolar b-metric space and prove
fixed point theorem. Some of the well-known results in the literature are expanded and …