Altering distances in probabilistic Menger spaces

D Miheţ - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
Altering distance functions in probabilistic fixed point theory have been recently considered
by BS Choudhury and K. Das. In this paper we establish some fixed point results involving …

Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

D Gopal, M Abbas, C Vetro - Applied Mathematics and Computation, 2014 - Elsevier
We establish some fixed point theorems by introducing two new classes of contractive
mappings in Menger PM-spaces. First, we prove our results for an α-ψ-type contractive …

[HTML][HTML] The point of coincidence and common fixed point for a pair of mappings in cone metric spaces

BS Choudhury, N Metiya - Computers & Mathematics with Applications, 2010 - Elsevier
The point of coincidence and common fixed point for a pair of mappings in cone metric spaces -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

[PDF][PDF] Some fixed point results in Menger spaces using a control function.

PN Dutta, BS Choudhury, K Das - Surveys in Mathematics and its …, 2009 - eudml.org
Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line
with research in fixed point theory using control functions which was initiated by Khan et …

A coincidence point result in Menger spaces using a control function

BS Choudhury, K Das - Chaos, Solitons & Fractals, 2009 - Elsevier
In the present work we prove a coincidence point theorem in Menger spaces with a t-norm T
which satisfies the condition sup {T (t, t): t< 1}= 1. As a corollary of our theorem we obtain …

Common coupled fixed point results for probabilistic φ-contractions in Menger spaces

JZ Xiao, XH Zhu, YF Cao - Nonlinear Analysis: Theory, Methods & …, 2011 - Elsevier
Several hybrid probabilistic contractions with a gauge function φ are considered. Using the
properties of the pseudo-metric and the triangular norm, some common coupled fixed point …

Further generalization of fixed point theorems in Menger PM-spaces

MA Kutbi, D Gopal, C Vetro, W Sintunavarat - Fixed Point Theory and …, 2015 - Springer
In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive
mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as …

[PDF][PDF] Fixed point theorem for mappings with cyclic contraction in Menger spaces

BS Choudhury, K Das, SK Bhandari - Int. J. Pure Appl. Sci. Technol, 2011 - Citeseer
1. IJPAST_Vol. 4, No. 1_ Revised Page 1 Int. J. Pure Appl. Sci. Technol., 4(1) (2011), pp. 1-9
International Journal of Pure and Applied Sciences and Technology ISSN 2229 - 6107 …

An altering distance function in fuzzy metric fixed point theorems

N Wairojjana, T Došenović, D Rakić, D Gopal… - Fixed Point Theory and …, 2015 - Springer
The aim of this paper is to improve conditions proposed in recently published fixed point
results for complete and compact fuzzy metric spaces (Ćirić in Chaos Solitons Fractals 42 …

[HTML][HTML] Multivalued and singlevalued fixed point results in partially ordered metric spaces

BS Choudhury, N Metiya - Arab Journal of Mathematical Sciences, 2011 - Elsevier
Fixed point theory in partially ordered metric spaces has greatly developed in recent times.
In this paper we prove certain fixed point theorems for multivalued and singlevalued …