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Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with (α,λ)-NODSM mappings in ordered Banach spaces
... nonlinear ordered variational inequalities and inclusions (ordered equation) have wide applications in many fields including, for example, mathematics, physics, opti- mization and control, nonlinear ... See full document
19
Solving GNOVI frameworks involving (γG,λ)-weak-GRD set-valued mappings in positive Hilbert spaces
... nonlinear ordered variational inequalities and equations and established an existence theorem and an approximation algorithm of solutions for this kind of generalized nonlinear ordered ... See full document
71
A class of nonlinear mixed ordered inclusion problems for ordered (αA,λ)-ANODM set-valued mappings with strong comparison mapping A
... nonlinear inclusion problems for ordered RME set-valued mappings in order Hilbert spaces []; in , Li has introduced and studied a class of nonlinear inclusion ... See full document
15
Sensitivity analysis for a parametric generalized multi-valued implicit quasi-variational-like inclusion
... multi-valued mappings A, B,C and F be H -mixed Lipschitz continu- ous with pairs of constants (L A , l A ), (L B , l B ), (L C , l C ) and (L F , l F ), ...the mappings (g − m) be s-strongly mono- ... See full document
6
A Korpelevich like algorithm for variational inequalities
... where C is a nonempty closed convex subset of a real Hilbert space H and A : C → H is a given mapping, is a fundamental problem in variational analysis and, in particular, in opti- mization theory. For ... See full document
6
Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces
... the Banach contraction principle by initiating a new concept of cone metric ...type mappings in partially ordered cone metric spaces was investigated (see [, ... See full document
59
Common fixed point theorems for a family of mappings in cone metric spaces
... metric spaces. Abbas and Rhoades generalized those theorems and obtained common fixed points for mappings with normal cone conditions satisfying certain contractive ...single valued maps to a ... See full document
16
On intermediate value theorem in ordered Banach spaces for noncompact and discontinuous mappings
... The main theorem, that is, Theorem 1.7, of [4] may fall down is shown by Example 2.1. A correct version of Theorem 1.7, by relaxing some assumptions and a new proof, is presented. Some examples in order to support the ... See full document
184
Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings
... of variational inequalities, called variational inclusions, have been extensively studied and generalized in different directions to study a wide class of problems arising in mechanics, optimization, ... See full document
210
New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces
... the ordered equations and ordered variational in- equalities in ordered Banach spaces has been done by Li et ...concerning ordered variational inclusions are ... See full document
149
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces
... Proof. The hypotheses imply by Lemma 2.1 that P has an order center, and that G[P] is relatively well-order complete in P. Thus the assertions follow from [9, Proposition 2.3], whose proof is based on a recursion method ... See full document
135
Some notes on fixed point sets in CAT(0) spaces
... image α of c is called a geodesic (or metric) segment joining x and y. When it is unique, this geodesic is denoted by [x, y]. The space (X , d) is said to be a geodesic space if every two points of X are joined by ... See full document
151
On some recent coincidence and immediate consequences in partially ordered b-metric spaces
... partially ordered b-metric space with s > ...almost generalized (ψ, L)-contractive mapping with respect to g : X → X for some ψ ∈ , ε > and L ≥ ... See full document
8
Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
... Coupled coincidence point was defined by Lakshmikantham and ´ Ciri´c 14. We also extend the concept of coupled coincidence point to tripled coincidence point in the following. Definition 1.6. Let X be any nonempty ... See full document
73
Vol 3, No 2 (2012)
... A generalized metric space or D-metric space introduced by Dhage in [2] and ...D-metric spaces. By increasing the number of factors Rhoades [4] generalized Dhage’s contractive condition and proved ... See full document
10
Generalized set valued variational like inclusions involving H(⋅,⋅) η cocoercive operator in Banach spaces
... Theorem . Let H(A, B) be η-cocoercive with respect to A with constant μ > and η-relaxed cocoercive with respect to B with constant γ > , A is α-expansive and B is β-Lipschitz continuous, μ > γ and ... See full document
6
A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces
... Several examples of w-distances on quasi-metric spaces may be found in [–]. Note that if d is a metric on X then it is a w-distance on (X, d). Unfortunately, this does not hold for quasi-metric spaces, ... See full document
23
3. Fixed point theorems in $N$-polygonal cone metric spaces
... It is clear that every linear positive operator is monotone non-decreasing. Lemma 1.13. Let (𝑉, ∣∣ ⋅ ∣∣, 𝐾 ) be an ordered Banach space such that 𝐾 is a normal cone with normal constant 𝜆 and 𝑄 : 𝑉 → 𝑉 be a ... See full document
7
Generalized α-nonexpansive mappings in Banach spaces
... real Banach space, N the set of natural numbers and R the set of real ...the set of fixed points of T ...nonexpansive mappings was initiated in by Browder [], Göhde [] and Kirk ... See full document
19
Set valued mappings in partially ordered fuzzy metric spaces
... partially ordered fuzzy metric space satisfying an implicit relation and another fixed point ...for set-valued mappings in complete partially ordered fuzzy metric ... See full document
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