Fixed-Point Set under a Group Action (P, Q)
Fixed Point Theorems For Set-Valued Maps
... as fixed point problem, meaning that one has to find a fixed point of some function F .... Fixed point theorems provide sufficient conditions under which there exists a ...
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On the stability of set-valued functional equations with the fixed point alternative
... is called a quadratic functional equation. In particular, every solution of the quadra- tic functional equation is said to be a quadratic mapping. The Hyers-Ulam stability of the quadratic functional equation was proved ...
17
A fixed point result for a new class of set-valued contractions
... a fixed point theorem ([6], Theorem 4) for a class of set-valued mappings satisfy a contractive condition similar to ...(2.1) under some different ...
7
New fixed point theorem under R-contractions
... The main aim of the present manuscript is to give a set of auxiliary functions that let us consider a true extension of Meir-Keeler contractions. To do that, we present the notion of R-contraction, which permits ...
18
The Szlenk Index and the Fixed Point Property under Renorming
... consequently, there exists an equivalent norm · such that RCK, · 1. From this result and the main result in 16, we can easily deduce that if a Banach space can be continuously embedded in CK, K as above, then it can be ...
9
On Subsets of Q(√m) Q under the Action of Hecke Groups H(λq)
... modular group having special interest for mathematicians in many fields of Mathematics, H ( ) λ 4 = H and H ( ) λ 6 = M ...non-empty set Ω with an action of the group G on it, is said to be a ...
8
The Methods of Hilbert Spaces and Structure of the Fixed-Point Set of Lipschitzian Mapping
... a fixed point in every nonempty closed convex subset of C which is invariant under T and if C is convex and weakly compact, then Fix T {x ∈ C : Tx x}, the set of fixed points, is ...
12
The fixed point theorems of 1-set-contractive operators in Banach space
... some fixed point ...the fixed point index of 1-set- contractive operators and obtained some fixed point theorems of 1-set-contractive opera- ...some fixed ...
7
Random fixed point theorems under mild continuity assumptions
... Conditions for the existence of an approximating family for an upper semicontinuous correspondence are given in the following lemma. We recall that a subset X of a locally convex topological vector space E has the ...
14
Fixed point theorems for set-valued mappings on TVS-cone metric spaces
... Some emblematic and particular cases of standard weak contractions are the Chatterjea [] and Kannan [] contractions. Natural extensions of these concepts are obtained for set-valued mappings defined on cone ...
7
Fixed point theorems for set-valued quasi-contraction maps in a Menger space
... Definition 1.3. A statistical measure that defines a probability distribution for a random vari- able, denoted by f (x) is defined as the probability density function. The probability density function when graphically ...
8
Properties P and Q for Suzuki type Fixed Point Theorems in Metric Spaces
... ABSTRACT The aim of this paper is to present several results for maps defined on a metric space involving contractive conditions of Suzuki-type which satisfy properties P and Q. An interesting fact about ...
5
Fixed point sets of set-valued mappings
... fixed point sets of various set-valued mappings using the concept of fixed point iteration schemes and the newly defined concept of fixed point ...fixed point sets of certain nonexpansive ...
16
Fixed point theorems for the class Q(X,Y)
... Let E and F be topological vector spaces, let X be a nonempty subset of E, and let Y be a subset of F. We denote by 2 Y the class of all nonempty subsets of Y , and X denotes the class of all nonempty finite subsets of ...
6
Fixed point of set valued graph contractive mappings
... fixed point theorem for set-valued ...of set-valued mappings with a gen- eral contractive ...for set-valued graph contractive mappings in metric spaces endowed with a graph ...
7
Structure of the Fixed Point of Condensing Set-Valued Maps
... Schauder fixed point theorem [16] has been generalized in various directions by using different methods, see [1–6,8,12,13,15,17] and reference ...the set of fixed points has important ...
9
The existence of fixed point theorems for partial q-set-valued quasi-contractions in b-metric spaces and related results
... (Fixed Point Theory ...fixed point results for single-valued mapping, fixed point results for set-valued mapping in b-metric space endowed with an arbitrary binary relation, and fixed ...
20
Thus MR(Q) = P (Q) Q P (Q 1) (Q 1) < P (Q) Q P (Q) (Q 1) = P (Q), since P (Q 1) > P (Q).
... When a monopoly increases amount sold, it has two effects on total revenue: – the output effect: More output is sold, so Q is higher. – the price effect: To sell more, the price must decrease, so P is ...
10
Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
... the fixed point theorem obtained in [V. Pata, A fixed point theorem in metric spaces, ...J. Fixed Point Theory ...tripled fixed points in two cases—for monotone and ...
10
Research Article q-hyperconvexity in Quasipseudometric Spaces and Fixed Point Theorems
... called q-hyperconvexity or ...of q-hyperconvex spaces and also present some fixed point theorems for nonexpansive self-maps on a bounded q-hyperconvex quasipseudometric ...a ...
19