Results 41 to 50 of about 371 (119)

Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps

Advances in Nonlinear Analysis, 2018
We give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces.
Altwaijry Najla, Chebbi Souhail, Hammami Hakim, Gourdel Pascal   +3 more
doaj   +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, Mohammed M. M. Jaradat, Saif Ur Rehman, Sidra Akbar, Shikha Binwal   +4 more
wiley   +1 more source

Orthogonal Stability of an Additive-Quadratic Functional Equation

Fixed Point Theory and Applications, 2011
Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj  

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, Manoj Kumar, Pankaj Kumar, Rahul Shukla, Birendra Nath Mandal   +4 more
wiley   +1 more source

Another weak convergence theorems for accretive mappings in banach spaces

Fixed Point Theory and Applications, 2011
We present two weak convergence theorems for inverse strongly accretive mappings in Banach spaces, which are supplements to the recent result of Aoyama et al. [Fixed Point Theory Appl. (2006), Art. ID 35390, 13pp.]. 2000 MSC: 47H10; 47J25.
Saejung Satit, Wongchan Kanokwan, Yotkaew Pongsakorn   +2 more
doaj  

The Solution of Nonlinear Matrix Equations Using Suzuki Multivalued Fixed Point Theorems in Rectangular M‐Metric Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper establishes new fixed‐point (FP) theorems for Suzuki–Rational (ψ, ϕ)‐type multivalued contractions in complete rectangular M‐metric spaces (RM‐MSs). These theorems ensure the existence of fixed points and provide significant insights into the structural properties of such contractions.
Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Hamed Alsulami, Abdul Rauf Khan   +4 more
wiley   +1 more source

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

Fixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

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, Gunaseelan Mani, Arpan Hazra   +2 more
wiley   +1 more source

Stability of common fixed points in uniform spaces

Fixed Point Theory and Applications, 2011
Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam, Mishra Swaminath, Stofile Simfumene   +2 more
doaj  

Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α ∈ (1, 2] With Deviating Argument

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan, Ravikumar Kasinathan, Ramkumar Kasinathan, Karthikeyan Shanmugasundaram, Dimplekumar Chalishajar, Theodore Simos   +5 more
wiley   +1 more source