[PDF] Top 20 Fixed points of monotone mappings and application to integral equations

... nonexpansive mappings defined in partially ordered Banach spaces. Nonexpansive mappings are those which have Lipschitz constant equal to ...such mappings is rich and ... See full document

... Definition . [] Let (X, ≤ ) be a partially ordered set and F : X × X −→ X and g : X −→ X. We say F has the mixed g-monotone property if F is non-decreasing g- monotone in its first argument and is ... See full document

... type mappings and α-admissible mappings in metric ...contractive mappings. Also, it should be noted that the study of common fixed points of mappings satisfying certain contractive ... See full document

... fixed points of a Lipschitzian pseudocontractive mapping and zeros of sum of two monotone ...mappings. Application to a common element of the set of fixed points of a Lipschitzian ... See full document

... differential equations with a variety of boundary conditions have been investigated by many ...differential equations appear naturally in various fields of science and engineering and constitute an ... See full document

... coupled fixed point was introduced and studied by Opoitsev ([14]- [16]) and then by Guo and Lakshmikantham ...coupled fixed point of a mapping F : X × X → X and investigated some coupled fixed point ... See full document

... After this, different authors considered the problem of existence of a fixed point for con- traction mappings in partially ordered metric spaces; see [, –] and references cited therein. Nieto et al. in [] ... See full document

... common fixed point theorems for commuting ...contraction mappings and guarantee the existence of their fixed ...an integral version of these ... See full document

... Single-valued monotone operators have been widely ...fixed points for single-valued monotone operators are bounteous and successful and have found various applications to nonlinear integral ... See full document

... 3. Chandok, S, Mustafa, Z, Postolache, M: Coupled common fixed point results for mixed g-monotone mapps in partially ordered G-metric spaces. Sci. Bull. “Politeh.” Univ. Buchar., Ser. A, Appl. Math. Phys. 75(4), ... See full document

... Common fixed point theorem for hybrid generalized multi-valued contraction map- pings, ...an application, we give some existence and uniqueness results for solutions of a certain class of functional ... See full document

... compatible mappings satisfying contractive conditions of integral type in metric spaces are ...functional equations arising in dynamic programming is discussed by using one of the common fixed point ... See full document

... The aim of this paper is to study the convergence behavior of the well-known Mann iter- ation [7] in a CAT(0) space for a monotone nonexpansive mapping. Further, we provide a numerical example and ... See full document

... Banach’s contraction principle [] is remarkable in its simplicity, yet it is perhaps the most widely applied fixed point theorem in all of analysis. This is because the contractive condi- tion on the mapping is simple ... See full document

... a fixed and periodic points of single-valued and multivalued mappings in ordered Banach spaces and Metric spaces,[16],[17], [1], [9], and in complete locally convex spaces [7], [4], ...a fixed ... See full document

... a monotone mapping and J : E → E ∗ is the normalized duality map which plays an indispensable role in this research ...of monotone map- pings is extended from Hilbert spaces to Banach ... See full document

... Abstract In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction[r] ... See full document

... maximal fixed point and the minimal fixed point in D. Observing that fixed point of A is equivalent to solutions of ...the monotone sequences without the compactness ... See full document

... for fixed points of sequence for multicalued nonexpansive mapping and a zero of maximal monotone operator in Banach space by using the hybrid projection ... See full document

... of points which escape `as fast as possible', commensurate with the growth of the ...quasiregular mappings in R n of transcendental type was investigated in [3, ... See full document