[PDF] Top 20 A fixed point result for a new class of set-valued contractions

... Example 2.7. Let X = [0, 2] and d(x, y) = |x − y| for each x, y ∈ X. Define T : X → CB(X) by T x = [1, 5 4 ] whenever x ∈ [0, 3 4 ], T x = [ 7 8 , 9 8 ] whenever x ∈ ( 3 4 , 5 4 ) and T x = [ 4 3 , 1] whenever x ∈ [ 5 4 ... See full document

... fixed point theory is a branch of mathematics, which is widely used not only in other mathematical theories, but also in many practical problems of natural sciences and ...a new type of contractive mapping ... See full document

... the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mapping satisfying different contractions ...of fixed point theorems in such spaces ... See full document

... (Fixed Point Theory ...fixed point results for single-valued mapping, fixed point results for set-valued mapping in b-metric space endowed with an arbitrary binary relation, ... See full document

... nonempty set, S be a measurable space which consist of some metrics on the X, (, P) be a complete probabilistic measure space and f : → S be a measurable ... See full document

... intriguing result on the structure of fixed point sets by prov- ing that the fixed point set of a certain nonexpansive mapping is always a nonexpansive retract of its ...the result was ... See full document

... fixed point results for single- and set- valued mappings defined on partially ordered metrics spaces (see, ...a new approach in metric fixed point theory by replacing the order structure ... See full document

... this new class of maps, Briseid [5, 7] has observed that a continuous self-map of a compact metric space satisfying any one of the first 50 contractive conditions listed by Rhoades [17] is an asymptotic ... See full document

... The well-known Banach ’ 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 X. It is well known that the Banach contraction ... 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

... a set of auxiliary functions that let us consider a true extension of Meir-Keeler ...of contractions that includes not only Meir-Keeler contractions, but Geraghty contractions, ... See full document

... desired result. □ 4. Stability of the generalized quadratic set-valued functional Equation ...the fixed point method, we define a generalized quadratic set-valued ... See full document

... related fixed point theorems have been developed by many authors; [1], [2], [4]-[9] and the references ...The result of Fisher on two metric spaces [4] was generalized to three metric spaces by Jain, ... See full document

... In the last two decades research workers have generalized/extended Banach contraction theorem in various ways. A large number of research papers are available which have generalized the theorem of Banach involving more ... See full document

... The pair T, I is called a Banach operator pair 10 if the set FI is T -invariant, namely, T FI ⊆ FI. Obviously, commuting pair T, I is a Banach operator pair but converse is not true, in general; see 10–13. If T, I ... See full document

... dom fixed point theorems for random contraction mappings on separable complete metric spaces were first proved by ˇ Spaˇ cek[24] and Hanˇ ...Schauder’s fixed point theorem was proved by Sehgal ... See full document

... The concept of fuzzy set was introduced by Zadeh in 1965 [1]. Ten year later, in 1975, Kramosil and Michalek introduced the notion of fuzzy metric space [2] and George and Veeramani modified the concept in 1994 ... 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 ... See full document

... In this paper, we prove a fixed point theorem for set valued directional contraction mappings.. see definition below..[r] ... See full document

... Partial metric spaces were introduced by Matthews 1 to the study of denotational semantics of data networks. In particular, he proved a partial metric version of the Banach contraction principle 2. Subsequently, many ... See full document