Results 251 to 260 of about 6,416 (290)

Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings

Journal of Mathematical Analysis and Applications, 2006
In this paper, the famous Banach contraction principle and Caristi's fixed point theorem are generalized to the case of multi-valued mappings. Our results are extensions of the well-known Nadler's fixed point theorem [S.B.
Yuqiang Feng, Sanyang Liu
exaly   +4 more sources

Partitionable Variational Inequalities with Multi-valued Mappings [PDF]

, 2007
We consider multi-valued variational inequalities defined on a Cartesian product of finite-dimensional subspaces. We introduce extensions of order monotonicity concepts for set-valued mappings, which are adjusted to the case where the subspaces need not ...
E Allevi, Adriana Gnudi, I V Konnov
exaly   +8 more sources

On a general class of multi-valued weakly Picard mappings

Journal of Mathematical Analysis and Applications, 2007
The concept of weak contraction from the case of single-valued mappings is extended to multi-valued mappings and then corresponding convergence theorems for the Picard iteration associated to a multi-valued weak contraction are obtained. The main results
Vasile Berinde
exaly   +2 more sources

Common fixed point theorem for cyclic generalized multi-valued contraction mappings

Applied Mathematics Letters, 2012
In this paper, we extend a multi-valued contraction mapping to a cyclic multi-valued contraction mapping. We also establish the existence of common fixed point theorem for a cyclic multi-valued contraction mapping.
Wutiphol Sintunavarat, Poom Kumam
exaly   +2 more sources

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The Multi-Valued Quasimöbius Mappings on the Riemann Sphere

Siberian Mathematical Journal, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Class of Quasi-Nonexpansive Multi-Valued Maps

Canadian Mathematical Bulletin, 1975
Let (X, d) be a (nonempty) metric space. bc(X) will denote the family of all nonempty bounded closed subsets of X endowed with the Hausdorff metric D induced by d [2, pp. 205]. Let/be a map of X into bc(X). f is nonexpansive at a point x in X if for all y in X.
Shiau, Chyi, Tan, Kok-Keong, Wong, Chi Song   +2 more
openaire   +1 more source

Weak condition for generalized multi-valued (f,α,β)-weak contraction mappings

Applied Mathematics Letters, 2011
In 2007, Kamran [T. Kamran, Multivalued f-weakly Picard mappings, Nonlinear Anal. 67 (2007) 2289–2296] extended the notion of multi-valued mapping from weak contraction and generalized (α,L)-weak contraction to f-weak contraction and generalized multi ...
Wutiphol Sintunavarat, Poom Kumam
exaly   +2 more sources

Some new common fixed point results for generalized contractive multi-valued non-self-mappings

Applied Mathematics Letters, 2012
In this work, we study some new common fixed point results for generalized contractive multi-valued non-self-mappings on complete metric ...
Farshid Khojasteh, Vladimir Rakocevic
exaly   +2 more sources

Multi-Valued Mappings of Bounded Generalized Variation

Mathematical Notes, 2002
The paper deals with some embeddings of function spaces, the structure of the mappings, the jumps of the variation, and the Helly selection principle, among other things. It is shown that a compact-valued multi-valued mapping of bounded generalized variation with respect to the Hausdorff metric has a regular selection of bounded generalized variation ...
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Multi-Valued Continuous Mappings of Figure Spaces

Cybernetics and Systems Analysis, 2005
Let \(A\) and \(B\) be two nonempty sets and binary relations \(s\subset A\times B\) and \(f_s: A\to 2^B\) from the set \(A\) into the Boolean \(2^B\) by the the rule \(f_s(a)= \{b\in B:(a,b)\in s\}\) for each \(a\in A\) and call an \(s\)-mapping the mapping \(s(a)= f_s(a)\), An \(m\)-mapping is an \(s\)-mapping from \(A\) into \(B\) such that \(m(a ...
openaire   +2 more sources