Enriched multivalued contractions with applications to differential inclusions and dynamic programming

M Abbas, R Anjum, V Berinde - Symmetry, 2021 - mdpi.com
The purpose of this paper is to introduce the class of enriched multivalued contraction
mappings. Both single-valued and multivalued enriched contractions are defined by means …

Some fixed point results for multi-valued mappings in b-metric spaces

MA Kutbi, E Karapınar, J Ahmad, A Azam - Journal of Inequalities and …, 2014 - Springer
The aim of this paper is to establish some fixed point theorems for set-valued mappings in
the context of b-metric spaces. The proposed theorems expand and generalize several well …

Fixed Points for Multivalued Suzuki Type ()‐Contraction Mapping with Applications

M Abbas, H Iqbal, A Petrusel - Journal of Function Spaces, 2019 - Wiley Online Library
In this paper, we will introduce the concept of Suzuki type multivalued (θ, R)‐contraction and
we will prove some fixed point results in the setting of a metric space equipped with a binary …

A new type of fixed point theorem via interpolation of operators with application in homotopy theory

M Abbas, R Anjum, S Riasat - Arabian Journal of Mathematics, 2023 - Springer
The purpose of this paper is to introduce the class of multi-valued operators by the technique
of interpolation of operators. Our results extend and generalize several results from the …

[PDF][PDF] Fixed points for multivalued mappings and the metric completeness

S Dhompongsa, H Yingtaweesittikul - Fixed Point Theory and Applications, 2009 - Springer
Research Article Fixed Points for Multivalued Mappings and the Metric Completeness Page
1 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009 …

[HTML][HTML] On fixed point generalizations of Suzuki's method

SMA Aleomraninejad, S Rezapour… - Applied Mathematics …, 2011 - Elsevier
In order to generalize the well-known Banach contraction theorem, many authors have
introduced various types of contraction inequalities. In 2008, Suzuki introduced a new …

[PDF][PDF] Coincidence theorems for certain classes of hybrid contractions

SL Singh, SN Mishra - Fixed Point Theory and Applications, 2009 - Springer
Coincidence and fixed point theorems for a new class of hybrid contractions consisting of a
pair of single-valued and multivalued maps on an arbitrary nonempty set with values in a …

[HTML][HTML] Multivalued fixed point results in cone metric spaces

N Mehmood, A Azam, LDR Kočinac - Topology and its Applications, 2015 - Elsevier
In this paper we extend main fixed point results of Kikkawa and Suzuki (2008)[19] and Mot
and Petruşel (2009)[21] for the case of cone metric spaces without assumption of normality …

General common fixed point theorems and applications

SL Singh, SN Mishra, R Chugh… - Journal of Applied …, 2012 - Wiley Online Library
The main result is a common fixed point theorem for a pair of multivalued maps on a
complete metric space extending a recent result of Đorić and Lazović (2011) for a …

A new type of contractive multivalued operators

O Popescu - Bulletin des Sciences Mathématiques, 2013 - Elsevier
The aim of this paper is to introduce a new type of multivalued operators similar to those of
Kikkawa–Suzuki type and to present some basic problems of the fixed point and strict fixed …