Results 21 to 30 of about 65 (65)

Generalized strongly set‐valued nonlinear complementarity problems

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 597-604, 1999., 1999
In this paper, we introduce a new class of generalized strongly set‐valued nonlinear complementarity problems and construct new iterative algorithms. We show the existence of solutions for this kind of nonlinear complementarity problems and the convergence of iterative sequences generated by the algorithm. Our results extend some recent results in this
Nan-Jing Huang, Yeol Je Cho
wiley   +1 more source

Continuity of fuzzy multifunctions

International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 17-22, 1999., 1998
We define the upper and lower inverse of a fuzzy multifunction and prove basic identities. Then by using these ideas we introduce the concept of hemicontinuity and obtain many interesting properties of lower and upper hemicontinuous fuzzy multifunctions. Using the notion of hemicontinuity, we also characterize closed and open fuzzy mappings.
Ismat Beg
wiley   +1 more source

Enriched (f, ϕ, ψ, s)‐Functional Contractions and Stability of Nonlinear Volterra Integral and Fractional Differential Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we develop a comprehensive analytical framework for generalized nonlinear, nonhomogeneous Volterra integral equations and fractional differential equations in b‐metric spaces equipped with amorphous binary relations. By introducing an enriched (f, ϕ, ψ, s)‐functional contraction, we extend classical contractive conditions to accommodate ...
D. Srinivasan, D. Ramesh Kumar, Xinan Hao   +2 more
wiley   +1 more source

Some fixed point theorems for nonconvex spaces

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 133-137, 1998., 1996
We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prove a new fixed point theorem for set‐valued maps on arbitrary topological vector spaces.
F. Jafari, V. M. Sehgal
wiley   +1 more source

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

Journal 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, Naeem Saleem, Ali Althobaiti, Samuel Nicolay   +3 more
wiley   +1 more source

Equilibrium points of random generalized games

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 791-800, 1998., 1995
In this paper, the concepts of random maximal elements, random equilibria and random generalized games are described. Secondly by measurable selection theorem, some existence theorems of random maximal elements for Lc‐majorized correspondences are obtained.
E. Tarafdar, Xian-Zhi Yuan
wiley   +1 more source

New Operators Inspired by Ideal Topological Spaces and Their Application to Establishing Topology and Compatibility Property

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article at hand, we employ the sharp operator to set up two novel operators via ideal topological spaces, namely, Δ‐operator and clΔ‐operators, and demonstrate how they interact with other ideas and properties. To prove some invalid relationships and further illustrate our discussion of some of their properties, we provide some elucidative ...
Murad Özkoç, Faical Yacine Issaka, Tareq M. Al-Shami, Alaa M. Abd El-Latif, Ömer Kisi   +4 more
wiley   +1 more source

A G‐KKM type theorem and its applications to minimax inequalities on G‐convex spaces

International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 493-505, 1998., 1998
A G‐KKM type theorem is obtained on G‐convex spaces. As application, a generalization of Ky Fan′s minimax inequality to non‐compact sets on G‐convex spaces is first obtained. As special cases of this minimax inequality, some new minimax inequalites are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality
Mohammad S. R. Chowdhury
wiley   +1 more source

On a local degree for a class of multi‐valued vector fields in infinite dimensional Banach spaces

Abstract and Applied Analysis, Volume 1, Issue 4, Page 381-396, 1996., 1996
This paper is devoted to the development of a local degree for multi‐valued vector fields of the form f − F. Here, f is a single‐valued, proper, nonlinear, Fredholm, C1‐mapping of index zero and F is a multi‐valued upper semicontinuous, admissible, compact mapping with compact images.
N. M. Benkafadar, B. D. Gel′man
wiley   +1 more source

Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators

Heliyon
In the context of complete strong b-metric-like spaces, we prove new multi-fixed point solutions for the pair of multivalued, dominated operators that fulfill the generalized nonlinear contractions on a closed ball. We employ a mix of two different types
Tahair Rasham, Sumati Kumari Panda, Ghada Ali Basendwah, Aftab Hussain   +3 more
doaj   +1 more source