$F$-contraction mappings
1. Modified generalized weakly contractive and $F$-contraction mappings with fixed point results
... contractive mappings as well as for cyclic F -contraction mappings in metric ...contractive mappings, ...contractive mappings in complete metric spaces, Fixed Point Theory ...
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On best proximity points for multivalued cyclic $F$-contraction mappings
... In 1992, Banach contraction principle was defined by Banach (see [1]). Let T : X → X be a self mapping of a complete metric (X, d), such that d(T x, T y) ≤ Ld(x, y) for each x, y ∈ X, where 0 ≤ L < 1. Then, T ...
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Solutions of initial and boundary value problems via F-contraction mappings in metric-like space
... Many work have been done in this direction, (see, for example, [8, 9, 12, 13, 15]). In this paper, we introduce the notion of rational ´ Ciri´ c type generalized F -contraction and F - Suzuki ...
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Coincidence points for a pair of ordered $F$-contraction mappings in ordered partial metric spaces
... a F-contraction map in an ordered partial metric ...ordered F-contraction if F ∈ ∆ F and there exists τ > 0 such that for all (x,y) ∈ Y , we ...
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Fixed point theorems for generalized F-Suzuki-contraction mappings in complete b-metric spaces
... new contraction, the so-called F-contraction, and obtained a fixed point result as a generalization of the Banach contraction ...multivalued F -contraction mappings and ...
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Common fixed points of f contraction mapping with generalized altering distance function in partially ordered metric spaces
... of f-contraction mappings defined on complete metric spaces endowed with a partial order by using generalized altering distance functions? ...
5
A new method for the research of best proximity point theorems of nonlinear mappings
... The purpose of this paper is to present a new method for the research of best proximity point theorems of nonlinear mappings in metric spaces. In this paper, the P-operator technique, which changes ...
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Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems
... multi-valued mappings has applications in many areas such as in opti- mization problem, control theory, differential equations, economics and many branches in ...
15
Fixed point of multivalued integral type of contraction mappings
... Nadler contraction principle, the Khan contraction theorem and the fixed point theorem in complete metric space with a convex structure is ...the mappings, defined over the complete metric space, are ...
10
Quadruple Fixed Point of Multivalued Nonlinear Contraction Mappings
... and F : X 4 → X . We say that F has the mixed monotone property if F (x, y, z, w) is monotone non decreasing in x and z and it is monotone non increasing in y and w, that is, for any x, y, z, w ∈ ...
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Coupled fixed points for multivalued mappings in fuzzy metric spaces
... Proof If g(x, y) = , then it is easy to see that (x, y) ∈ X × X is a coupled fixed point of F . Otherwise, g(x, y) < and the definition of ϕ guarantees that ϕ(g(x, y)) > for each (x, y) ∈ X × X. By virtue ...
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Convergence on Composite Iterative Schemes for Nonexpansive Mappings in Banach Spaces
... Theorem 3.7. Let E be a reflexive Banach space with a uniformly Gˆateaux differentiable norm. Suppose that every weakly compact convex subset of E has the fixed point property for nonexpansive mappings. Let C be a ...
14
The contraction principle for mappings on a modular metric space with a graph
... We give a generalization of the Banach contraction principle on a modular metric space endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing ...
10
An optimization problem involving proximal quasi-contraction mappings
... The paper is organized as follows. In Section , we introduce the class of proximal quasi-contractive mappings, and the concept of proximal orbital completeness. Section presents some useful lemmas that will be ...
12
Best proximity points for Geraghty’s proximal contraction mappings
... proximal contraction mappings, and prove best proximity theorems for this ...proximal contraction of the first kind if, there exists β ∈ S such ...
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Suzuki-type fixed point theorem for fuzzy mappings in ordered metric spaces
... In this paper, a Suzuki-type fixed fuzzy point result for fuzzy mappings in complete ordered metric spaces is obtained. As an application, we establish the existence of coincidence fuzzy points and common fixed ...
13
The \((\alpha, \beta)\)-generalized convex contractive condition with approximate fixed point results and some consequence
... contraction mappings and establish some approximate fixed point theorems for such mappings in the setting of complete metric ...cyclic mappings are also given in order to illustrate the ...
14
Some common fixed point theorems for four $(\psi,\varphi)$-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces
... Proof . The set of common fixed points of f, g, S and T is not empty due to Theorem 2.1 (or Theorem 2.10). Suppose that u and v are two common fixed points of f, g, S and T, that is, f u = gu = Su = ...
20
Endpoints of multi-valued cyclic contraction mappings
... Denote F ix(T ) = {x ∈ X : x ∈ T ...⊆ F ix(T ...multi–valued mappings in metric spaces, see for example [1, 5, 6, 11, 12, 14, 15, 19] and references ...
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Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces
... Let f , g, T , S : X → X be mappings with fX ⊆ TX and gX ⊆ SX, and the dominating mappings f and g are weak annihilators of T and S, ...that f and g satisfy almost gener- alized (S, T ...
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