Results 41 to 50 of about 149 (57)

Some new fixed point theorems for F-metric spaces

open access: yes, 2020
The present paper introduces some new fixed point and coupled fixed point theorems for F -metric spaces. We introduce a new fixed point theorem, a Kannan type theorem for asymptotically regular operators and basic coupled fixed point theorems along with some
C. Păcurar
semanticscholar   +1 more source

Investigating Nonlinear Activation Mechanism Through Fixed‐Circle Theorems of Enriched Multivalued Bilateral‐Type Contractions

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we present new results addressing the fixed‐circle and fixed‐disc problems through modification of the multivalued bilateral Jaggi‐type and Dass–Gupta‐type contractions. Furthermore, we demonstrate the application of these theorems to the nonlinear activation mechanism used in neural networks.
Saima Kanwal   +3 more
wiley   +1 more source

An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad   +5 more
wiley   +1 more source

Some fixed and coincidence point theorems for expansive maps in cone metric spaces

open access: yes, 2012
In this article, we establish some common fixed and common coincidence point theorems for expansive type mappings in the setting of cone metric spaces. Our results extend some known results in metric spaces to cone metric spaces.
W. Shatanawi, F. Awawdeh
semanticscholar   +1 more source

Fixed points of generalized contractive mappings of integral type

open access: yesFixed Point Theory and Applications, 2014
The aim of this paper is to introduce classes of α-admissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces. Our results improve and generalize fixed point
H. Alsulami   +3 more
semanticscholar   +1 more source

Proinov contractions and discontinuity at fixed point

open access: yesMiskolc Mathematical Notes, 2019
In this paper, we show that the contractive definition considered by Proinov [Fixed point theorems in metric spaces, Nonlinear Analysis 64 (2006) 546 557] is strong enough to generate a fixed point but does not force the mapping to be continuous at the ...
R. Bisht, R. Pant, Vladimir Rakovcevic
semanticscholar   +1 more source

Common fixed points of two pairs of mappings satisfying (E.A)-property in partial metric spaces

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we present common coincidence and common fixed point results for two pairs of mappings that satisfy the (E.A)-property in the setup of partial metric spaces.
T. Nazir, M. Abbas
semanticscholar   +1 more source

Common fixed points of R-weakly commuting maps in generalized metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj  

Contractive multivalued maps in terms of Q-functions on complete quasimetric spaces

open access: yes, 2014
In this paper we prove the existence of a fixed point for multivalued maps satisfying a contraction condition in terms of Q-functions, and via Bianchini-Grandolfi gauge functions, for complete T0-quasipseudometric spaces. Our results extend, improve, and
E. Karapınar, S. Romaguera, P. Tirado
semanticscholar   +1 more source

Generalized α-ψ-contractive type mappings of integral type and related fixed point theorems

open access: yes, 2014
The aim of this paper is to introduce two classes of generalized α-ψ-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results are improved versions of a multitude of
E. Karapınar, Priya Shahi, K. Tas
semanticscholar   +1 more source

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