Fixed points are also called as invariant points. Invariant point theorems very essential tools in solving problems arising different branches of mathematical analysis. In the present paper, we establish three unique common using two self-mappings, four self-mappings and six bicomplex valued metric space. first theorem, generate a theorem for by weaker conditions such weakly compatible, general...

A ring $R$ with identity is called ``clean'' if $~$for every element $ain R$, there exist an idempotent $e$ and a unit $u$ in $R$ such that $a=u+e$. Let $C(R)$ denote the center of a ring $R$ and $g(x)$ be a polynomial in $C(R)[x]$. An element $rin R$ is called ``g(x)-clean'' if $r=u+s$ where $g(s)=0$ and $u$ is a unit of $R$ and, $R$ is $g(x)$-clean if every element is $g(x)$-clean. In this pa...

Objectives: In this paper, we have to establish a generalized common fixed point theorem in cone rectangular metric spaces. Methods: use the Banach contraction principle technique theorem. Findings: The paper presents unique for two weakly compatible self-maps satisfying expansive type mapping space without assuming normality condition of cone. Our result extends and supplements some well-known...

In the present work, we have introduced a new type of (ξ,ω)-weakly cyclic generalized contraction in setting metric spaces and established some fixed-point results. Fixed-point results are useful establishing existence unique solution to differential equations. We supplemented derived with suitable non-trivial examples an application Boundary Value Problem, generalizing known The analytical res...

Abstract In this paper, we introduce the notions of proximal Berinde g -cyclic contractions two non-self-mappings and -contractions, called contraction first second kind. Coincidence best proximity point theorems for these types mappings in a metric space are presented. Some examples illustrating our main results also given. Our extend generalize many existing literature.

In this paper, we introduce new notions of generalized F-contractions type(S) and type(M) in G-metric spaces. Some common fixed point theorems are proved using these notions. A suitable example is also provided to support our results.

The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-m...