Fixed Point Index Theory
Coexistence of an unstirred chemostat model with B D functional response by fixed point index theory
... ε > such that u(s) > , υ(s) > , when < s < ε ≤ δ. Hence, (.) have positive solutions. Case : if a (s) ≡ , then there exists δ > , a (s) is not equal to when | s | < δ ≤ δ . Ac- cording ...
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On the uniqueness of the fixed point index on differentiable manifolds
... The fixed point index enjoys a number of properties whose precise statement may vary in the ...the fixed point index ...the fixed point ...
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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 ...
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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 ...
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Fixed point index approach for solutions of variational inequalities
... fundamental theory of variational inequality was founded in the 1960s, the vari- ational inequality theory with applications has made powerful progress and has become an important part of nonlinear ...
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The Szlenk Index and the Fixed Point Property under Renorming
... natural question in Renorming Theory and Fixed Point Theory would be the following: let X be a Banach space. Is it possible to renorm X so that the resultant space has the w-FPP? This is not ...
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Positive solutions of some three-point boundary value problems via fixed point index for weakly inward -proper maps
... standard theory 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 ...
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Nielsen number and differential equations
... of index zero ...the index of the Fredholm operator L is defined by indexL : = dim KerL − ...and index L ≥ 0. Moreover, since Lx = Nx is rewritten into a fixed-point problem by the ...
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A Poincaré Formula for the Fixed Point Indices of the Iterates of Arbitrary Planar Homeomorphisms
... isolated fixed points of orientation preserving planar ...the fixed point indices of the iterations of the homeomorphism have periodical ...ends theory see 6, ...the index of arbitrary ...
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Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... “A fixed point theorem of the alternative, for contractions on a generalized complete metric space,” Bulletin of the American Mathematical Society, ...“The fixed points method for the stability of ...
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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 ...
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Coupled Fixed Point Theorems on Bipolar Metric Spaces
... d(a ∗ , a) + d(b ∗ , b) ≤ λ(d(a ∗ , a) + d(b ∗ , b)). (16) Since λ < 1, by (16) this means that d(a ∗ , a) + d(b ∗ , b) = 0. So, we obtain that a ∗ = a and b ∗ = b. Similarly, if (a ∗ , b ∗ ) ∈ Y 2 , we have a ∗ = a ...
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Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph
... the theory of fixed points in metric spaces endowed with a graph, this research area was initiated by Jachymski [13] and Gw´ o´ zd´ z-Lukawska, Jachymski ...
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Krasnosel'skii-Type Fixed-Set Results
... Krasnosel’skii-type fixed-set theorems for the sum S T , where S is a multimap and T is a ...several fixed-point and fixed-set results including that given by Ok ...the theory of ...
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A Common End Point Theorem for Set-Valued Generalized -Weak Contraction
... We introduce the class of generalized ψ, ϕ-weak contractive set-valued mappings on a metric space. We establish that such mappings have a unique common end point under certain weak conditions. The theorem obtained ...
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Remarks on G-metric spaces and fixed point theorems
... fixed point the- orems on G-metric spaces are particular cases of existing fixed point theorems in metric ...fixed point theorems on quasi-metric ...
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Some multidimensional fixed point theorems on partially preordered G∗-metric spaces under (ψ,φ)-contractivity conditions
... 3. Ha, KS, Cho, YJ, White, A: Strictly convex and strictly 2-convex 2-normed spaces. Math. Jpn. 33, 375-384 (1988) 4. Dhage, BC: Generalized metric space and mapping with fixed point. Bull. Calcutta Math. Soc. 84, ...
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Vol 3, No 10 (2012)
... studied fixed point theorems for mappings satisfying different contractive conditions (see [7- ...coincidence point of a mapping F from X × X into X and a mapping g from X into X, and studied ...
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On the fixed point theory of soft metric spaces
... fixed point theorem: every Meir-Keeler contractive self mapping on a complete metric space has a unique fixed point, where a self mapping T on a metric space (X, d) is said to be a Meir-Keeler contractive ...
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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] ...
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