[PDF] Top 20 1. Fixed point theorems for set-valued generalized asymptotic contractions

... of set-valued generalized asymptotic contraction of Meir-Keeler type, which includes the known notions of asymptotic contractions due to Kirk [14], Suzuki [21] and Fakhar [10] ... See full document

... In [1 I, [2 l, Sehgal and Smithson proved fixed point theorems for set-valued weak drectional contractions which extend earlier rosults of Clarke [3], Kirk and Ray [4], In the present pa[r] ... See full document

... of fixed points for various multivalued contractive mappings had been studied by many authors under different ...to 1–7 and the references ...following fixed point theorem for the multivalued ... See full document

... Fixed point theory is one of the most important topic in the development of non linear ...containing fixed point results on b-metric spaces for single value and multivalued ... See full document

... Let X be any set. A mapping f : X  X is a called a self-map of X. If f is a self-map of X then we denote f ( x ) by fx , for brevity. If f and g are self maps of X, their composition fg is defined by ( fg ) x  ... See full document

... coupled fixed point theorems for nonlinear contractive maps that satisfied a generalized Mizoguchi-Takahashi’s condition in the setting of ordered metric ...Presented theorems extends ... See full document

... ϕ)-weak contractions, weakly compatible maps and altering dis- tance functions is interesting, though ...existence theorems and many results, a number of applications have been obtained; see [12–17] for ... See full document

... complex valued metric space which is a generalization of the classical metric space and proved a unique common fixed point theorems for two self-mappings satisfying a rational type ...complex ... See full document

... Banach fixed point theorem on a metric space endowed with a ...ϕ)-graphic contractions have been defined by using a compari- son function and studied the existence of fixed ...some ... See full document

... know, fixed point theory is one of the active research areas in ...of fixed points of mappings satisfy certain contractions in abstract ...in fixed point theory, also, it is a ... 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

... Some problems, particularly the problem of the convergence of measurable functions with respect to a measure, lead to a generalization of notion of a metric. Using this idea, Czerwik [5] presented a generalization of the ... See full document

... 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] ... See full document

... multivalued contractions and obtained some interesting results which are proper generalizations of the recent results of Klim and Wardowski 9, Feng and Liu 12, and many ...approximate fixed point ... 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 ...< 1 such ... See full document

... some fixed point theorems for generalized (ψ, ϕ)- weak contractive mappings in a metric ...result generalized and extend recent results of Singh et ...Theorem 1] and Dutta and ... See full document

... Random fixed point theorems are stochastic versions of (classi- cal or deterministic) fixed point theorems and are required for the theory of random ...random fixed ... See full document

... 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 ... 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

... some fixed point results in metric spaces endowed with a graph and generalized simultaneously Banach’s contraction principle from metric and partially ordered metric ...the set V (G) of its ... See full document