[PDF] Top 20 An Iterative Process for Solving Fixed Point Problems for Weak Contraction Mappings

... numerous problems which arise from real-world ...the fixed point theory becomes the most interesting branch in ...real-word problems are naturally formulated as a fixed point ... See full document

... different fixed point theorems with different contractive type mappings on tensor product ...given contraction mapping (with fixed point) on the tensor product space , we have ... See full document

... inclusion problems have been extended and generalized to study a large variety of problems arising in image recovery, economics, and signal pro- cessing; for more details, see ...inclusion problems ... See full document

... Random fixed point theorems for random contraction mappings on separable complete metric spaces were first proved by Spacek ...random fixed point theory are used to obtain the ... See full document

... implicit iterative scheme to fined a common element of the set of solutions of a system of equilibrium problems and the set of fixed points of an amenable semigroup of non-expansive mappings ... See full document

... coupled fixed point theory in the setting of multivalued map- pings were extended by Abbas et ...coincidence point and common coupled fixed point theorems involving hybrid pair of ... See full document

... K. Iterative techniques for converging fixed points of nonexpansive nonself-mappings have been studied by many authors see, ...the weak and strong convergence theorems using ...nonexpansive ... See full document

... fixed point theorems including Banach, Edelsetin, Carsti and a fixed point theorem for nonexpansive mappings in a Banach ...cyclic contraction, Păcurar and Ioan [] pro- posed the concept of ... See full document

... Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 ...in solving existence problems in many branches of mathematical ...Banach contraction principle has ... See full document

... every contraction map on a complete metric space has fixed ...in solving existence problems in many branches of mathematical analysis and ... See full document

... Lemma . [] Let C be a nonempty closed convex subset of a real Hilbert space H and S : C → H be a k-strict pseudo-contraction mapping. Define B : C → H by Bx = λSx + ( – λ)x for all x ∈ C. Then, as λ ∈ [k, ), ... See full document

... Motivated by the previous results, in this paper, we introduce and study the Mann-type iteration to approximate a common solution of the split equilibrium problem and the fixed point problem for a   -nonspreading ... See full document

... Fixed point theory for nonlinear mappings is an important subject of nonlinear functional ...fixed point theorem in all of analy- sis is the ‘Banach (or Banach-Caccioppoli) contraction ... See full document

... Fixed point theory in the framework of metric spaces is one of the most powerful and useful tools in nonlinear functional ...fixed point of a mapping. The application of fixed point theorems is ... See full document

... The iterative method ...Banach contraction map- ping theorem, the Picard iteration converges at unique fixed point of T , but it fails to approxi- mate fixed point for ... See full document

... of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), ... See full document

... Quadruple fixed point is introduced by Karapinar ...coupled fixed point theorems for multivalued non linear contraction mapping in partially ordered metric ...quadrupled fixed ... See full document

... Fuzzy Mappings: Let X be any metric linear spaces and d be any metric in x. A fuzzy set in X is a function with domain X and values in [0,1]. If A is a fuzzy set and x  X, the function value A(x) is called the ... See full document

... of fixed points of nonexpansive mappings (asympto- tically nonexpansive mappings), and of common fixed points of nonexpansive semi- groups (asymptotically nonexpansive semi-groups) is an ... See full document

... In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined ... See full document