[PDF] Top 20 Common fixed point theorems for (ψ, φ)-weak nonlinear contraction in partially ordered sets

... Banach Contraction Principle has been generalized in various ...of weak contrac- tions in Hilbert spaces and proved the corresponding fixed point ...various fixed point and ... See full document

... Banach contraction principle in the context of complete b-metric ...coupled common fixed point theorems for mappings satisfying (ψ , φ, θ )-contractive conditions in ... See full document

... of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity; see, ...proved fixed point results in these ... See full document

... coincidence point theorems for generalized nonlinear contraction mappings with the mixed g-monotone property in the framework of metric spaces endowed with partial ...The theorems ... See full document

... uniqueness theorems for some integral and differential equations. Fixed point theorems in (or- dered) metric spaces are of great use in ... See full document

... Tripled common fixed point in partially ordered metric spaces, ...a partially ordered set, F: X 3 ® X and g: X ® X two ... See full document

... Banach’s contraction theorem is one of the significant results of nonlinear analysis, which also became the origin of understanding iterative and dynamical ...a contraction if there exists k ∈ [0, 1) ... See full document

... interesting fixed point theorems for ψ - weak contraction in com- plete metric ...of contraction can also be derived from the fact that they are strictly relative to ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...Banach contraction mapping is one of the pivotal results of ...Banach contraction ... See full document

... coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...and common coupled fixed point theorems for ... See full document

... - φ)-weak contraction mappings and (ψ - φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which assure the existence of a ... See full document

... In this paper, we show that Theorems 1.4 and 1.5, as well as several similar results, can be proved in a much easier way, even in an improved form, by reducing them to the known results for mappings with one ... See full document

... Theorem 3.2. Let (X, ≤) be a partially ordered set satisfying condition (??) and sup- pose that there exists a metric d in X such that (X, d) is a complete metric space. Let T: X ® X be a nonincreasing ... See full document

... Vetro, Coupled fixed point theorems for multi - valued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Analysis, 74 2011, 4260 - 4268.. Postolache, Coupled c[r] ... See full document

... fixed point theory was initiated in  by Gnana Bhaskar and Lak- shmikantham ...fixed point of certain operators in the context of a partially ordered set to solve a periodic boundary value ... See full document

... Theorem 3.1 . Let (X, ≤ ) be a partially ordered set and (X, G) be a complete G-metric space. Let F : X × X ® X and g : X ® X be continuous mappings such that F has the mixed g-monotone property and g ... 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

... triple fixed point theorems in partially ordered metric spaces depended on another ...[Tripled fixed point theorems for contractive type mappings in ... See full document

... Our purpose here is to establish tripled coincidence point results in metric spaces with partial ordering. For that purpose we define mixed g-monotone property in the following. Mixed g-monotone property was ... See full document