[PDF] Top 20 Common fixed points in partially ordered modular function spaces

... of common fixed points of mappings satisfying certain contractive conditions in the setup of partially ordered metric spaces can be employed to establish the existence of solutions of ... See full document

... Ciri´c 23 to undertake further investigation of fixed points in the area of ordered metric spaces. We prove the existence and approximation results for a wide class of contractive mappings in ... See full document

... of partially ordered metric space (it is then restricted to the case when gx and gy are comparable) and prove respective common fixed point ... See full document

... fixed points for single-valued mappings in partially ordered metric spaces was initially considered by Ran and Reurings in [] who proved the following ...a partially ordered set ... See full document

... metric spaces and cone metric spaces, the readers may refer to [, Theorems ...a partially ordered S-metric space and f : X × X – → X be a map such ... See full document

... question are not the conclusions which maybe known but the proofs as developed in the metric setting. Maybe one of the most beautiful results known in the hyperconvex metric spaces is the intersection property ... See full document

... and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are ...existing fixed point results in the ...a ... See full document

... all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets ... See full document

... in modular function spaces and the sequence of the algorithm is proved to be a common ρ-approximate fixed point ...to common fixed points of finite family of ... See full document

... (G4) g(x, y, z) = g(x, z, y) = g(y, z, x) = · · · , (symmetry in all three variables); (G5) g(x, y, z) ≤ g(x, a, a) + g(a, y, z), for all x, y, z, a ∈ X (rectangle inequality). Then the function g is called a ... See full document

... Hilbert spaces and established a fixed point theorem for such mappings, Dutta and Choud- hury [13]generalized the weak contractive condition and proved a fixed point theorem for a self- mapping, ... See full document

... fixed points and mixed monotone mapping in the setup of metric spaces, which provided powerful tools for solving complex problems; and therefore numerous interesting results on coupled fixed point theorems ... See full document

... Recently, Rold ´ an et al. [17] obtained some existence and uniqueness theorems that extend the previous mentioned results for nonlinear mappings of any number of arguments, not necessarily permuted or ordered, in ... See full document

... of fixed points of generalized Geraghty contractions in partially ordered metric spaces by using an altering distance function without subadditivity and continuity is of present ... See full document

... the common fixed point problems for mappings with quasi-contractive type ...on partially ordered cone metric spaces, but some authors in references discussed the same problems for ... See full document

... of fixed point theory for mappings defined on some subsets of modular function spaces which are natural generalization of both function and sequence variants of many important, from ... See full document

... distance function and : [0, ∞) → [0, ∞) is a right upper semi-continuous function with the condition ( ) > ( ), ∀ > 0 and ( ) = 0 ⇔ = ...have common fixed point, in ... See full document

... of common fixed points for semi- groups of nonlinear mappings acting in modular function spaces which are natural gen- eralizations of both function and sequence variants of many ... See full document

... 6. ´Ciri´c, LB: Generalized contractions and fixed-point theorems. Publ. Inst. Math. (Belgr.) 12(26), 19-26 (1971) 7. ´Ciri´c, LB: A generalization of Banach’s contraction principle. Proc. Am. Math. Soc. 45(2), 267-273 ... See full document

... of points in X are (x, x) for x ∈ X and then the contractivity condition () reduces to d(fx, fx) = , and condition (iv) of Theorem ...two common fixed points (, –) and (, ), ... See full document