[PDF] Top 20 Fixed point theorems for M-contraction type maps in partially ordered metric spaces and applications

... hybrid fixed point theorems of Krasnosel’skii type and some nonlinear alternatives of Leray-Schauder type involving sums of two operators in a partially ordered normed ... See full document

... of fixed-point property on partial ordered sets in ...a fixed point for contraction type mappings in partially ordered metric spaces and ... See full document

... fixed point the- orem, the famous contraction principle, which is one of the most important results of ...fixed point result in different areas of mathemat- ics and ...complete metric space with ... See full document

... fixed point theory, initiated by Ran and Reurings [] and continued by Nieto and Rodriguez-López [, ], is to consider a partial order on the ambi- ent metric space (X, d) and to transfer a part of the ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear ...& Applications, ...11 M. Jleli, V. ´ Cojbaˇsi´c-Raji´c, B. Samet, and C. ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear Analysis: Theory, Methods & Applications, ...“Fixed point ... See full document

... In fact, Alber and Guerre-Delabriere 2 assumed an additional condition on φ which is lim t→ ∞ φt ∞. But Rhoades 3 obtained the result noted in Theorem 1.2 without using this particular assumption. Also, the weak ... See full document

... unique fixed point for contraction type maps in partially ordered metric spaces using a control ...unique fixed point for a generalized Ciric ... See full document

... Fixed point results in partially ordered metric spaces play a major role in proving the existence and uniqueness of solutions for some differential and integral ...such ... See full document

... Banach Contraction Principle has been generalized in various ...Hilbert spaces and proved the corresponding fixed point ...various fixed point and common fixed ... See full document

... Next we show that {x n } is a Cauchy sequence. Suppose to the contrary that {x n } is not a Cauchy sequence. Then there exists ε > 0 for which we can find sub-sequence {x n(k) } and {x m(k) } where n(k) is the ... See full document

... fixed point results by defining the notion of α-ψ-contractive ...fixed point theorems for such mappings and listed some of the consequences of their main ... See full document

... Remark 2.4. Note that Theorem 2.3 does not follow from Theorem 3.3 of Bae 5 by replacing the metric d by ψd. In Theorem 2.3, we assume T is metrically inward with respect to d but to apply Theorem 3.3 of 5 with ψd ... See full document

... coupled fixed point theorems of multivalued mappings in partially ordered met- ric spaces by utilizing the combination of multivalued monotone iterative technique and multivalued ... See full document

... proximity point represents an optimal approximate solution to the equation T x = x whenever a non-self-mapping T has no fixed ...a fixed point coincides with a best proximity point if ... See full document

... fixed point theorem for a contraction in generalized complete metric spaces endowed with partial ...fixed point theorem to prove the Hyers-Ulam stability of the Cauchy functional equation ... See full document

... many fixed point theorems for contraction mappings in partially or- dered probabilistic metric ...on fixed point theory in partially ordered ... See full document

... coupled fixed point theorems which has attracted the attention of many researchers ...common fixed point theorems for these mappings in ordered metric ... See full document

... modular metric space, being a natural generalization of classical modulars over linear spaces, was recently ...modular metric space and investigate the existence of fixed points for such ...As ... See full document

... …xed point theorems for nonlinear contractive condition on intuitionistic fuzzy metric spaces with application to integral equations, Journal of the Korean Society of Mathe- matical ... See full document