[PDF] Top 20 Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces

... Remark 2.4. Note that Theorem 2.3 does not follow from Theorem 3.3 of Bae 5 by replacing the metric d by ψd. In Theorem 2.3, we assume T is metrically inward with respect to d but to apply Theorem 3.3 of 5 with ψd ... See full document

... complex valued metric spaces which is more general than the classical metric ...coupled fixed point and proved some fixed point theorems in this con- text, ... See full document

... on metric spaces and established some fixed point theorems for this ...Meir-Keeler type function and establish the fixed point theorems for a weaker Meir- ... See full document

... unique fixed point in X ...the fixed point theory, from the last few decades this theory is a central topic of ...common fixed point theorems. The concept of the common ... See full document

... common fixed point theorems for (ψ , F, α , β ) − weakly contractive mappings in rectangular metric spaces via new ...common fixed point ...introduced fixed ... See full document

... Example  Let X = [–, –] ∪ {} ∪ [, ], d : X × X → R, d(x, y) = |x – y|, T : X → X such that Tx = –x if x ∈ [–, –) ∪ (, ], Tx =  if x ∈ {–, , }, and α : X × X → R, α(x, y) =  if xy ≥  and α(x, y) =  ... See full document

... common fixed points of weakly compatible mappings, we often require the assumption of completeness of the space or subspace or continuity of mappings involved besides some contractive ... See full document

... the metric condition of ...of fixed point of the monotone mappings is obtained under certain additional conditions on the domain space such as lattice structure of the partially ordered space under ... See full document

... Corollary  Suppose X is d-complete. Let f : X → X be a mapping and ϕ ∈ LS (X) such that for each x ∈ X, d(x, f (x)) ϕ(x) – ϕ(f (x)). Then there exists x ∗ ∈ X such that x ∗ = f (x ∗ ). A cone metric version of ... See full document

... s fixed point theorem asserts that if D = X, f is contractive and (X, d) is complete, then f has a unique fixed point in ...Banach contraction principle [1] is a very useful and ... See full document

... cone metric space by substituting an ordered Banach space for the real numbers and proved some fixed point theorems in this ...many fixed point theorems are proved; see ... See full document

... -Geraghty contraction type maps in the setting of a metric ...fixed point theorems for such maps and give an example to illustrate our ... See full document

... common fixed point theorems for a pair of maps un- der contraction involving rational expressions in the setting of complex valued b-metric spaces are ... See full document

... of fixed point theorems in partially ordered metric spaces is one of the most active research areas in fixed point ...new fixed point theorems for ... See full document

... Following Grabiec’s approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces...[r] ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... cone metric spaces as a generaliza- tion of metric ...a metric) by an ordered Banach ...cone metric spaces, introduced their completeness and proved some fixed ... See full document

... existing metric space ...those spaces. In 2006, Mustafa and Sims attempted to address the D-metric space deficiencies by introducing a new structure of generalized metric spaces called ... See full document

... Probabilistic metric spaces originated in 1942 by Karl Menger ...the metric. An analogy between probabilistic metric spaces and metric spaces can be drawn in a situation ... See full document

... and Karapinar,E.(2013).Fixed point theorems for α -Geraghaty contraction type maps in metric spaces, Fixed point theory. Source of support: Nil, Conflict of interest: None Declared[r] ... See full document