Results 51 to 60 of about 1,555 (127)
Fixed point results for contractions of polynomial type
Demonstratio MathematicaWe introduce two new classes of single-valued contractions of polynomial type defined on a metric space. For the first one, called the class of polynomial contractions, we establish two fixed point theorems.
Jleli Mohamed +2 more
doaj +1 more source
A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Talman, A.J.J., Yang, Z.F.
core +1 more source
A New Approach of Graphical Presentation in C∗‐Algebra‐Valued b‐Metric Spaces With an Application
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we introduced the new concept of a graphical presentation approach in C∗‐algebra‐valued b‐metric space (C∗AVbM‐space). We studied some new modified contraction conditions for single‐valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples.
Faiz Ullah +4 more
wiley +1 more source
Open Mathematics, 2019 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 a pair of α-identical and weak ...
George Reny +4 more
doaj +1 more source
A Fixed Point Theorem for Discontinuous Functions [PDF]
AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J. +3 more
core +1 more source
Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to prove the validity of our results.
Swati Parashar +4 more
wiley +1 more source
Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well‐known results. We have also presented nontrivial examples to the derived results.
Rajagopalan Ramaswamy +2 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The main focus in this article is to prove the existence and uniqueness of fixed point satisfying Reich graph contraction within the graph structure, in the context of the graphical extended b‐metric spaces. Our findings represent substantial expansions and broader generalizations of certain pioneering results within the current theoretical framework ...
Azham Ilyass +3 more
wiley +1 more source
Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property
Open Mathematics, 2018 In this paper, we study the existence and uniqueness of common fixed point of six self-mappings in Menger spaces by using the common limit range property (denoted by (CLRST)) of two pairs.
Liu Xiao-lan +4 more
doaj +1 more source
A simple case within Nash-Moser-Ekeland theory
, 2018 We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.Comment: In this third version we have made numerous improvements inspired by the referee, like correcting the definition of directional derivative to the standard ...
Ivanov, Milen, Zlateva, Nadia
core