Fixed-point index
On the uniqueness of the fixed point index on differentiable manifolds
... the fixed point index can be chosen as axioms, the choice depending on the class of maps and spaces ...the fixed point index is uniquely determined by the properties of ...
9
Fixed point index approach for solutions of variational inequalities
... using fixed point index approach for multivalued mappings, the existence of nonzero solutions for a class of generalized variational inequalities is studied in reflexive Banach ...
9
Positive solutions of some three-point boundary value problems via fixed point index for weakly inward -proper maps
... of fixed point index cannot be applied since it needs the cone to be sent back into itself (see, ...inward fixed point index only exists in nonreflexive spaces using A-proper ...
8
Computation of fixed point index and applications to superlinear periodic problem
... In this paper we compute the fixed point index for A-proper semilinear operators under certain boundary conditions. The proof is based on the partial order method combined with the properties of the fixed ...
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Coexistence of an unstirred chemostat model with B D functional response by fixed point index theory
... fixed point index of chemostat model is obtained by degree theory and the homotopy invariance ...fixed point index theory and bifurcation ...
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Sharp geometrical properties of a-rarefied sets via fixed point index for the Schrödinger operator equations
... In this paper, we use the theory of fixed point index for the Schrödinger operator equations to obtain a geometrical property of a -rarefied sets at infinity on cones.. Meanwhile, we give a[r] ...
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Positive Solutions of a Four-point Fractional Boundary Value Problem
... fractional derivative. The function f ∈ C([0, 1]×[0, +∞) → [0, +∞)). By means of contraction map principle and the fixed point index theory, we establish the uniqueness and existence results of ...
5
A Poincaré Formula for the Fixed Point Indices of the Iterates of Arbitrary Planar Homeomorphisms
... the fixed point index of an orientation and area preserving homeomorphism around an isolated fixed point p and the number of branches in which the stable/unstable “manifold” of p ...the ...
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6. Positive solution of system of third-order boundary value problem with three-point and integral boundary conditions
... ing fixed point theorems on cones, fixed point index theory, upper and lower solutions method, differential inequality, topological transversality and Leggett- Williams fixed ...
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Two topological definitions of a Nielsen number for coincidences of noncompact maps
... some fixed point index or Lefschetz ...a fixed point index or Lefschetz number requires certain additional assumptions on the involved maps, we take in this paper the position ...
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Fixed Point and Common Fixed Point Theorems for α-Property in Cone Ball-Metric Spaces
... This research subject is interesting and widespread. But is too abstract makes the human difficulty with to understand. So we introduce the concept of cone ball-metric spaces and we prove fixed point ...
10
A Generalized Metric Space and Related Fixed Point Theorems
... well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point ...
7
Property in -Metric Spaces
... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation ...
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Coupled Fixed Point Theorems on Bipolar Metric Spaces
... coupled fixed point has been introduced by Guo and Laksh- mikantham [6] in ...coupled fixed point theorems in partially ordered metric ...these fixed point theorems can be ...
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Fixed point and common fixed point results in cone metric space and application to invariant approximation
... out results on multi-valued mappings defined on a cone metric space when the underly- ing cone is normal or regular (see [–]). In , Janković et al. [] showed that most of the fixed point results in the ...
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Vol 7, No 1 (2016)
... of fixed point results for single and multi-valued mappings by many authors have been obtained in (ordered) b-metric spaces (see, ...of fixed point theory in fuzzy metric ...some fixed ...
5
A generalization of the compression cone method for integral operators with changing sign kernel functions
... In this paper, a new class of order cones in the space of continuous functions is introduced. The result unifies some previous work in studying the existence of solutions for differential equations using the compression ...
12
Krasnosel'skii-Type Fixed-Set Results
... a fixed point of T if x Tx, and the set of fixed points of T will be denoted by FT ; b T is nonexpansive if dTx, Ty ≤ dx, y for all x, y ∈ M; c T is k-contraction if dTx, Ty ≤ kdx, y for all x, y ∈ M ...
9
Fixed Point Theorems in Complete G - Metric Spaces
... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ...
5
Common fixed points for two set-valued mappings on metric spaces
... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ...
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