[HTML][HTML] Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions

S Chandok, BS Choudhury, N Metiya - Journal of the Egyptian …, 2015 - Elsevier
In this paper, we establish some fixed point results for mappings involving (ϕ, ψ)-rational
type contractions in the framework of metric spaces endowed with a partial order. These …

[HTML][HTML] Relational strict almost contractions employing test functions and an application to nonlinear integral equations

D Filali, FA Khan - Mathematics, 2024 - mdpi.com
The present study deals with some fixed-point outcomes under a nonlinear formulation of
strict almost contractions in a metric space endued with an arbitrary relation. The outcomes …

Multivalued fixed point results and stability of fixed point sets in metric spaces

BS Choudhury, N Metiya, T Som… - Facta Universitatis …, 2015 - casopisi.junis.ni.ac.rs
In this paper we establish certain multivalued fixed point results for mappings satisfying
rational type almost contractions involving a control function in the framework of metric …

[PDF][PDF] Fixed point results for rational type contraction in partially ordered complex valued metric spaces

BS Choudhury, N Metiya, P Konar - Bulletin of the International …, 2015 - imvibl.org
In this paper we present some results of fixed point theory in a recently introduced
generalization of the metric space, that is, complex valued metric space where the metric …

End point theorems of multivalued operators without continuity satisfying hybrid inequality under two different sets of conditions

BS Choudhury, N Metiya, S Kundu - Rendiconti del Circolo Matematico di …, 2019 - Springer
In the fixed point theory of contractive mappings, that is, mappings satisfying contractive
inequalities, in partially ordered metric spaces the fixed point results are obtained under the …

Fixed point sets of multivalued contractions and stability analysis

N Metiya, BS Choudhury, S Kundu - Communications in Advanced …, 2018 - dergipark.org.tr
In this paper we derive a fixed point result for a multivalued generalized almost contraction
which contains several rational terms through a six variables function and a four variables …

Common best proximity point theorem for multivalued mappings in partially ordered metric spaces

V Pragadeeswarar, G Poonguzali, M Marudai… - Fixed Point Theory and …, 2017 - Springer
Common best proximity point theorem for multivalued mappings in partially ordered metric
spaces | Fixed Point Theory and Algorithms for Sciences and Engineering Skip to main content …

Fixed point sets of multivalued rational contractions with stability analysis

BS Choudhury, N Metiya, S Kundu - Afrika Matematika, 2023 - Springer
The present paper is on fixed point theory in set valued analysis. Here putting several
concepts together, we define a set valued contraction and establish that such contractions …

Stability of fixed point sets of a class of multivalued nonlinear contractions

BS Choudhury, C Bandyopadhyay - Journal of Mathematics, 2015 - Wiley Online Library
We consider a problem of stability of fixed point sets for a sequence of multivalued mappings
defined on a metric space converging to a limit function where the convergence is with …

End point results in metric spaces endowed with a graph

BS Choudhury, N Metiya, P Debnath - Journal of Mathematics, 2016 - Wiley Online Library
We introduce the notion of end point of multivalued mappings in the setting of metric space
endowed with a graph and prove some existence results in this context. The mappings are …