[PDF] Top 20 A note on ‘N-fixed point theorems for nonlinear contractions in partially ordered metric spaces’

... When f is continuous, then f is continuous; since F and g commute, then f and g commute; since F(X k ) ⊂ g(X), then f (X) ⊂ g(X); g(x   ) F(x   , x   , . . . , x  k ) = f (x   ) and similarly g(x   ) f (x   ... See full document

... of n-fixed point and n-coincidence point and prove some related theorems for nonlinear contractive mappings in partially ordered complete metric ... See full document

... this note is to solve this problem by using more refined technique of ...some fixed and common fixed point theorems for g-non-decreasing generalized nonlinear contractions ... See full document

... In recent times coupled fixed point theory has experienced a rapid growth in partially ordered metric spaces. The speciality of this line of research is that the problems herein ... See full document

... In this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize the main ... See full document

... Hausdorff metric on CBX induced by the metric d on X. A point x in X is a fixed point of a map T if Tx x when T : X → X is a single-valued map or x ∈ Tx when T : X → NX is a multivalued ... See full document

... Fixed point results in partially ordered metric spaces play a major role in proving the existence and uniqueness of solutions for some differential and integral ...such ... See full document

... of nonlinear analysis, which also became the origin of understanding iterative and dynamical ...a metric space, is said to be a contraction if there exists k ∈ [0, 1) such that ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear Analysis: Theory, Methods & Applications, ...“Coupled fixed point ... See full document

... a metric such as a -metric, a D-metric, a G-metric, a cone metric, and a complex-valued ...[]. Note that a -metric is not a continuous function of its variables, ... See full document

... Following this paper, Lakshmikantham and Ćirić [] established coupled fixed/coinci- dence point theorems for mappings F : X × X → X and g : X → X by defining the con- cept of the mixed g-monotone property. ... See full document

... of N parts of different densities, and some problems in the theory of elastic stability, can be modeled by multi-point bound- ary value problems (see [, ... See full document

... It is well known that the Banach Contraction Principle has been generalized in various directions. Alber and Guerre-Delabrere [1] introduced the concept of weak contrac- tions in Hilbert spaces and proved the ... See full document

... fixed point theorems for contractions in partially ordered metric ...to ordered partial metric ...in ordered partial metric spaces without the ... See full document

... Banach fixed point theorem for contraction mappings has been generalized and extended in many directions ...for contractions in partially ordered metric ... See full document

... Fixed point theory, which is an important branch modern mathematics, has been extensive- ly studied in different framework of ...that fixed point problems of nonlinear operators, which ... See full document

... coupled fixed point was introduced and studied by Guo and Lakshmikantham [18] and Bhaskar and Lakshmikantham ...coupled fixed point theorems in (partially ordered) ... See full document

... cone metric spaces by replacing the set of real numbers with an ordered Banach space, for more details; see [4] and the references ...many fixed point results concerning self mappings ... See full document

... The answer to this poser is provided by best proximity pair theorems. A best proximity pair the- orem investigates the conditions under which the optimization problem has a solution. In deed, if T is a ... See full document

... the metric space can be obtained as a partial-metric space by replacing the condition d(x, x) =  with the condition d(x, x) ≤ d(x, y) for all x, y in the definition of the ...of metric space. Several ... See full document