[PDF] Top 20 New fixed point theorems for generalized F-contractions in complete metric spaces

... fixed point theory, the contractive conditions on underlying functions play an impor- tant role in finding solutions of fixed point ...in metric fixed point theory. Over the years, it has been ... See full document

... of fixed points for various multi-valued contractive mappings had been studied by many authors under different ...below fixed point theorem for multi-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

... 3. ´Ciri´c, L: Generalized contractions and fixed-point theorems. Publ. Inst. Math. (Belgr.) 12(26), 19-26 (1971) 4. ´Ciri´c, L: A generalization of Banach’s contraction principle. Proc. Am. ... See full document

... modular spaces and further it was generalized and redefined by Musielak and Orlicz [, ] in ...modular metric spaces in [, ]. The main idea behind this new concept is the physical ... See full document

... ∀ x, y ∈ X , where α, β ≥ 0 with kα + kβ < 1, then T has a unique fixed point. Proof. By putting µ = γ = 0 in Theorem(3.1) we get the required result. Corollary 3.3. Let (X, b) be a complete ... 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

... Recently, Eshaghi et al. [12] introduced the notion of orthogonal sets and then gave a real extension of Banach’s fixed point theorem. Then, Baghani et al. [7] by using the notion, proved a statement which ... See full document

... fixed point results of Wardowski [], Wardowski and Dung [], Dung and Hang [], and Piri and Kumam [] by introducing a generalized F-Suzuki-contraction in b-metric ... See full document

... a fixed point theorem for generalized contractions with constants, recently achieved by Kikkawa and Suzuki in ...Three fixed point theorems for generalized ... See full document

... applied fixed point result in many branches of mathematics and it was generalized in many different directions (see ...-generalized metric spaces as follows (see ... See full document

... been generalized in various ...Hilbert spaces and proved the corresponding fixed point ...in complete metric ...various fixed point and common fixed ... See full document

... (Fixed Point Theory ...a complete metric space and on the mapping F, concerning the contractions defined by ...fixed point result for F-Suzuki contractions ... See full document

... proximity point results are the ones that provide sufficient conditions for the existence of a best proximity point and algorithms for finding best proximity points (see Definition ...proximity point ... See full document

... introduce new space structures with certain properties which guarantee the existence and/or uniqueness of fixed points of ...cone metric spaces, D-metric spaces, and G-metric ... See full document

... a fixed point for cyclic generalized weakly contractive mappings as well as for cyclic F -contraction mappings in metric ...Xue, Fixed point theo- rems for ... See full document

... Note that if T is a G-monotone pointwise Lipschitzian mapping, then it is not necessarily continuous by contrast to the case of pointwise Lipschitzian mappings. Since the main focus of this paper is about the existence ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...ordered metric ... 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

... partial metric space and obtained a generalization of Banach's fixed point theorem for partial metric ...some generalized versions of the fixed point theorem of Matthews ... See full document