This paper is aimed at establishing some unique common fixed point theorems in complex-valued b -metric space under the rational type contraction conditions for three self-mappings which one self-map continuous. A continuous commutable with other two self-mappings. Our results are verified by suitable examples. Ultimatel...

‎inspired by the work of suzuki in‎ ‎[t. suzuki‎, ‎a generalized banach contraction principle that characterizes metric completeness‎, proc‎. ‎amer‎. ‎math‎. ‎soc. ‎136 (2008)‎, ‎1861--1869]‎, ‎we prove a fixed point theorem for contractive mappings‎ ‎that generalizes a theorem of geraghty in [m.a‎. ‎geraghty‎, ‎on contractive mappings‎, ‎proc‎. ‎amer‎. ‎math‎. ‎soc., ‎40 (1973)‎, ‎604--608]‎an...

In this paper‎, ‎we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph under two different conditions‎. ‎We then support our main theorem by a non-trivial example and give some consequences of best proximity point of it for usual graphs.

In this paper, we present best proximity point theorems for new class ofK−rational proximal contraction, in the setting of metric spaces. Some illustrative example are also given.

Agents which perform inferences on the basis of unreliable information need an ability to revise their beliefs if they discover an inconsistency. Such a belief revision algorithm ideally should be rational, should respect any preference ordering over the agent’s beliefs (removing less preferred beliefs where possible) and should be fast. However, while standard approaches to rational belief rev...

Although premature separation of normally implanted placenta is considered the most serious complication of pregnancy, knowledge of uterine behaviour during this con­dition is meager, on the basis of electronic recording of intra-uterine pressure two type of contraction pattern has been identified.  In type I uterine tonus has values below 30mmHg  with a frequency of 4-9 contractions per 10 m...

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of ...

Azam et al. [1] introduced the concept of complex-valued metric spaces and obtained sufficient conditions for the existence of common fixed points of a pair of contractive type mappings involving rational expressions. Subsequently, several authors have studied the existence and uniqueness of the fixed points and common fixed points of self-mappings in view of contrasting contractive conditions....

In this paper, we investigate contractions in a rational form the context of supermetric space, which is very interesting generalization metric space. We consider an illustrative example to support new result on

The purpose of this paper is to present some new contraction mappings via control functions. In addition, fixed point results for Θ,α,θ,Ψ contraction, rational and almost are obtained. Moreover, under types (I), (II), (III) Θ,θ,Ψυ0, several circle solutions provided in the setting a G-Metric space. Our extend, unify, generalize many previously published papers direction. examples show reliabili...