[PDF] Top 20 Some fixed point theorems for \((\alpha,\psi)\)-rational type contractive mappings

... )-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of fixed points for such class of generalized nonlinear contractive mappings ... See full document

... α-ψ-contractive type mappings and established some fixed point theorems in complete metric ...φ)-contractive mappings and stablish coincidence and common ... See full document

... Theorem . In the statements of Theorem . and Theorem ., if the extra condition (H) is added to them, then the fixed point mentioned in these two statements is unique. Proof Following the proof of Theorem ... See full document

... This implies that θ (d(x ∗ , Tx ∗ )) = , which is a contradiction. Therefore, we have d(x ∗ , Tx ∗ ) = , that is, x ∗ ∈ Tx ∗ . This completes the proof. Remark . From Remark ., the conclusion in Theorems . ... See full document

... fixed point and common fixed point theo- rems for ρ-compatible mapping satisfying a generalized weak contraction of integral type in modular ... See full document

... single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict ... See full document

... proved fixed point theorems for contractive map in Modular ...of fixed points converge to the fixed points in a weaker sense as compared to metric ...introduced some ... See full document

... and g-contractive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings on a complete metric linear space.. we define g-contractive.[r] ... See full document

... coupled fixed points for some kinds of contractive-type mappings in partially ordered metric spaces, (ordered) cone metric spaces, fuzzy metric spaces and other spaces with applications ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math.. A unified approach for all contractive mappings, Ist.[r] ... See full document

... of mappings. Rhoades discussed a number of fixed point theorems dealing with rational type contractive conditions of some ...of mappings according to ... See full document

... generalized contractive and generalized α-Suzuki type contractive ...fixed point of these classes of mappings on complete metric spaces and b-complete b-metric ...the theorems of ... See full document

... fixed point theory in Banach spaces plays an important role and is useful in mathemat- ...fixed point theory can be applied for solving equilibrium problems, variational inequalities and optimization ...fixed ... See full document

... multivalued mappings (see [1, 4, 5, 10, 11, 12]). The study of maps satisfying some contractive conditions has been the center of rigorous research activity since such mappings have many ... See full document

... of contractive conditions in various generalized metric spaces, there is a large number of extensions of the Banach contraction principle ...[]. Some of such gen- eralizations are obtained via ... See full document

... Some authors proved many kinds of fixed point theorems for contractive type mappings and non-expansive mappings ([1]-[4]).. Fisher proved some theorems in two complete metric spaces as [r] ... See full document

... Afterwards, many authors continued the study of Branciari and obtained many fixed point theorems for several classes of contractive mappings of integral type; see, e.g., [– ] and the ... 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

... prove some common fixed point theorems for four mappings satisfying (ψ, ϕ)-weak contractions involving rational expressions in ordered partial metric ...improve some ... See full document

... several mappings satisfying contrac- tive conditions of integral type, one of which extends the mapping ...these mappings in complete metric ... See full document