[PDF] Top 20 Fixed point theorems for φ contractions

... fixed point theory has rapidly been evolving, not only in metric structure but also in many different generalized spaces and the b-metric space is one of ...fixed point theory for single valued and multivalued ... See full document

... fixed point theorems for probabilistic ϕ -contractions in Menger ...fixed point theorem for a probabilistic ϕ -contraction in Menger spaces in which a weaker condition on the function ϕ is ... See full document

... Weak contractions (also called φ-contractions) are generalizations of Banach contrac- tion mappings which have been studied by several ...and φ : [, +∞) → [, +∞) be a function. We say that T ... See full document

... coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...coupled fixed point theorem for contractions ... See full document

... A closer look to the work of these distinguished mathematicians after Matthews’s studies reveals that their discoveries can be categorized in terms of the techniques implemented to produce the analogs of Banach’s ... See full document

... Fixed point theory has fascinated hundreds of researchers since 1922 with the cele- brated Banach’s fixed point ...coupled fixed point and proved some coupled fixed ... See full document

... In , Branciari [] introduced the notion of generalized metric space and proved the Banach fixed point theorem in such spaces. For more information, the reader can refer to [–]. For some notions and facts ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int.. Ćirić, Generalized contractions and fixed-point theorems, Publ.[r] ... See full document

... common fixed point theorems for multivalued maps, Applied general topology, ...Three fixed point theorems for generalized contractions with constants in complete metric ... See full document

... It is observed by many authors that the contraction condition in a metric space may be exactly translated into a probabilistic metric space endowed with min norms. Sehgal and Bharucha-Reid [] obtained a generalization ... See full document

... fixed point theorems and coincidence point theorems in the generating space of a quasi-metric ...fixed point theorem for set-valued maps in complete generating spaces of a quasi-metric ... See full document

... endpoint theorems for such con- ...asymptotic contractions to the analysis of set-valued dynamical systems are also ...in fixed point ... See full document

... where j : ℝ +2 ® ℝ + is a continuous function such that ψ(x, y) = 0 if and only if x = y = 0. In [6,7], the authors proved some fixed point results for the C -contractions. In this section, we ... See full document

... common fixed point theorems for such contractions using weakly increasing property instead of mixed monotone ...our theorems are derived besides furnishing an ... See full document

... [12] Arslan Hojat Ansari, Naeem Saleem, Brian Fisher, M. S. Khan, C-class function on Khan type fixed point theorems in generalized metric space, Sciences and Mathematics. 11 (2017) 3483-3494. [13] ... See full document

... point of f . Uniqueness follows easily from (.). Theorem . is proved. Remark . It is clear that Theorem . holds if ϕ is also (c)-comparison function. It this case, it follows that the main result from ... See full document

... Remark 3.1. In case αt b and βt c for all t ∈ 0, sup fX, where b and c are constants in 0, 1 with c < b, then Theorem 2.1 reduces to a result, which is a generalization of Theorem 1.3. The following example reveals ... See full document

... Weak inequalities of the above type have been used to establish fixed point results in a number of subsequent articles. For example, Zhang and Song [9] used generalized -weak contraction which is defined ... See full document

... important fixed point theorem is the Banach contraction principle [1], which assures that every contraction T from a complete metric space X into itself has a unique fixed ...the fixed ... See full document

... interesting fixed point theorems for ψ - weak contraction in com- plete metric ...Banach’s fixed point theorem and to some other significant ...common fixed point theorem ... See full document