Perov studied the Banach contraction principle in framework of a generalized metric space and presented condition where contractive constant is replaced by matrix with nonnegative entries spectral radius less than 1. Azam et al. notion rectangular cone following idea Branciari, Huang Zhang replacing triangular inequality inequality. Motivated work Abbas Vetro Radenovi´c, purpose this paper to i...

recently, rahimi et al. [comp. appl. math. 2013, in press] de ned the conceptof quadrupled xed point in k-metric spaces and proved several quadrupled xed pointtheorems for solid cones on k-metric spaces. in this paper some quadrupled xed point resultsfor t-contraction on k-metric spaces without normality condition are proved. obtainedresults extend and generalize well-known comparable result...

in this paper, we propose a new definition of intuitionistic fuzzyquasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points. weprove some properties of intuitionistic fuzzy quasi- metric and pseudo-metricspaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionisticfuzzy regular and intuitionistic fuzzy completely normal and henceintuitionistic fuzzy nor...

In this paper, we prove a general fixed point theorem in $textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $textrm{S}$-metric spaces.

Abstract The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, scalar weighted assuming to be minihedral. Appropriate examples applications validate theory. Further, we provide one more answer question existence contractive condition Cone so that point is at discontinuity a map. Also, negative natur...

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...

This study involves new notions of continuity mapping between quasi-cone metrics spaces (QCMSs), cone metric (CMSs), and vice versa. The relation all were thoroughly studied supported with the help examples. In addition, these continuities compared various types two QCMSs. are

In this paper, we introduce the concepts of an inferior idempotent cone and a BID-cone b-metric space over Banach algebra. We establish some new existence theorems fixed point in setting complete spaces Some fundamental questions examples are also given.

Let P be a subset of a Banach space E and P is normal and regular cone on E, we prove the existence of the fixed point for multivalued maps in cone metric spaces and these theorems generalize the Bose and Mukerjee results and the results of varies authors.