Banach's fixed point theorem
A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
... of fixed points for a mapping and the set of solutions of equilibrium problem in the setting of Hilbert space and uniformly smooth and uniformly convex Banach space, respectively see, ...
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Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
... of fixed points for multivalued nonexpansive self-mappings in uniformly convex Banach ...Caristi’s theorem 8. Finally, we give some basic properties of fixed point sets for ...
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Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra
... Tx t = Cx t + Ax t ⋅ Bx t (2) Hence the existence of solutions of the FIE (1) is equivalent to finding a fixed point to the operator Equation (7) in ( J , ) . We shall prove that A , B and C satisfy all ...
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Common Fixed Point Theorem in Cone Metric Space for Rational Contractions
... Asadi, S. Mansour Vaezpour, Vladimir Rakocevic, Billy E. Rhoades, Fixed point theorems for contractive mapping in cone metric spaces, ...common fixed point theorems with rational ex- ...
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Vol 8, No 3 (2017)
... 1922, S. Banach The first important and significant result was proved a fixed point theorem for contraction mappings in complete metric space and also called it Banach ...
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On generalized weakly directional contractions and approximate fixed point property with applications
... new fixed point theorems for nonlinear multiva- lued contractive maps by using τ 0 -function, τ 0 -metrics and R ...’ s fixed point theo- rem, Mizoguchi-Takahashi ’ s ...
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Some new fixed point theorems in rectangular metric spaces
... Fixed point theory is a vital and genuine theme of nonlinear ...of Banach [12] is one of the most prominent theorems in functional ...this theorem has exposed to multifarious generalization ...
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A Generalized Metric Space And Related Fixed Point Theorems
... related fixed point theorems that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...known fixed point ...
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Application of the Banach Fixed-Point Theorem to the Scattering Problem at a Nonlinear Three-Layer Structure with Absorption
... the Banach fixed- point theorem contraction principle of the functional analysis ...this theorem we consider a nonlinear lossy dielectric film with spatially varying saturating ...
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Quasicontraction Mappings in Modular Spaces without Δ2-Condition
... for any x, y ∈ M. In 1974, ´ Ciri´c 1 introduced these mappings and proved an existence fixed point result very similar to the original Banach contraction fixed point theorem. ...
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Common fixed point results for generalized contraction mappings in b - metric space
... Fixed point theory is rapidly moving into the mainstream of Mathematics mainly because of its applications in diverse fields which include numerical methods like Newton-Raphson method, establishing Picard’s ...
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Ray's Theorem for Firmly Nonexpansive-Like Mappings and Equilibrium Problems in Banach Spaces
... Let C be a subset of a Banach space E. A mapping T : C → E is nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. In 1965, it was proved independently by Browder 1, G ¨ohde 2, and Kirk 3 that if C is a bounded ...
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A Generalized Metric Space and Related Fixed Point Theorems
... known fixed point theorems in standard metric spaces including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and ...
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Contractive gauge functions in strongly orthogonal metric spaces
... of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et ...and Banach fixed Point theorem, Fixed Point Theory, in ...of ...
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Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay
... the Banach fixed point theorem and the Krasnoselskii’s fixed point theorem, we investigate the existence of solutions for some fractional neutral functional ...
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The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
... Schauder Fixed point theorem for semilinear spaces) Let B be a nonempty, closed, bounded and convex subset of a semilinear Banach space S having the cancelation property, and suppose ...
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Cyclic Contraction on S- Metric Space
... Abstract. In this paper we introduced the concepts of cyclic contraction on S- metric space and proved some fixed point theorems on S- metric space. Our presented results are proper ...
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Approximation Method for Hybrid Functional Differential Equations
... is very rare in the literature. Very recently, the study along this line has been initiated via fixed point theorem. See Dhage and Regan (4) and Dhage (3) and the references there in. The HFDE (1.1) ...
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Vol 2, No 12 (2011)
... Lemma (S. Kasahara): Let be an L- space which is d- complete for a non negative real valued function d on + if is separated then, / % / % - 67 ( % % During the past few years many great mathematicians Yeh[19], ...
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Nonexpansive mappings on complex C*-algebras and their fixed points
... the fixed points set of T ...the fixed point property (or weak fixed point property) if for every nonempty bounded closed convex (or weakly compact convex, respectively) subset E of X ...
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