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Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations
(De Gruyter Open Access, 2019-08-09)
In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for ...
Caristi, Nadler and H + -Type Contractive Mappings and Their Fixed Points in θ-Metric Spaces
(MDPI (Basel, Switzerland), 2019-04-07)
A new proper generalization of metric called as θ -metric is introduced by Khojasteh et al. (Mathematical Problems in Engineering (2013) Article ID 504609). In this paper, first we prove the Caristi type fixed point theorem ...
(C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph
(MDPI (Basel, Switzerland), 2019-05-27)
In this paper, we introduce the (C,Ψ∗,G) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove ...
Existence and Unique Coupled Solution in Sb-Metric Spaces by Rational Contraction with Application
(MDPI (Basel, Switzerland), 2019-03-28)
In this paper, we prove a unique common coupled fixed point theorem for two pairs of w-compatible mappings in Sb -metric spaces. We also furnish an example to support our main result.
Application of Mellin Transforms in Determination the Probability Distribution of the Stochastic Volatility Models
In this paper, an application of the Stochastic Mellin Transforms (SMTs) in determination of the probability distribution functions (PDFs) of the Stochastic Volatility (SV) models is proposed. In that aim, three basic SV ...
Some Remarks and New Results in Ordered Partial b-Metric Spaces
(MDPI (Basel, Switzerland), 2019-04-06)
We improve and generalize some new results in fixed point theory in the context of partial b-metric spaces