[PDF] Top 20 Existence and uniqueness of fixed point for mixed monotone ternary operators with application

... Fixed point theory has fascinated hundreds of researchers since  with the celebrated Banach fixed point ...that mixed monotone operators were in- troduced by Guo and ... See full document

... fixed point theorems for weakly compat- ible mappings in fuzzy metric spaces employing the common limit range ...an application to our main result, we also derive a common fixed point theorem for four ... See full document

... fixed point theorems for a pair of operators not assumed to satisfy mixed monotone type properties in the ordered Banach space ...deflationary operators are introduced in the ... See full document

... an application, we utilize the results obtained for the operator equations to study the existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations with ... See full document

... some existence and uniqueness results for a coupled coincidence point and a common fixed point of θ -ψ contraction mappings in complete metric spaces endowed with a directed ...An ... See full document

... the existence and uniqueness of fixed point of a kind of mixed monotone ...an application of our results, we prove the existence and uniqueness of a positive ... See full document

... tripled fixed point for nonlinear mappings in partially ordered complete metric spaces and obtained its ...of mixed monotone operators with ...tripled fixed point theorems ... See full document

... [22] D. Jiang, C. Yuan, The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application, Nonlinear Analysis: Theory, ... See full document

... to mixed monotone operators with cer- tain concavity and convexity; for example, see [, , , , , , ...new existence and uniqueness results of a positive fixed point of ... See full document

... In this paper, we try to extend this probabilistic version theorem to the partially ordered Menger probabilistic metric spaces and establish some fixed-point theorems for mono- tone operators. Also, we show ... See full document

... the existence of a coupled fixed point and the coincidence point for a class of mixed monotone mappings in a par- tially ordered complete metric ...fixed point theorems for the ... See full document

... new existence and uniqueness theorems of fixed points of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point ... See full document

... fixed point theorems for multi-valued monotone and mixed monotone ...the existence of a lower or upper ...and mixed monotone, we get an existence and ... See full document

... of mixed monotone operators with convexity, and we get the existence and uniqueness of fixed points without assuming the operator to be compact or ...of mixed monotone ... See full document

... ABSTRACT: In this paper, the existence and uniqueness of coupled xed point for mapping having the mixed monotone property in partially ordered Banach spaces which endowed with vector-v[r] ... See full document

... The concept of measure of noncompactness in locally convex spaces [3, p 90] is used to define condensing operators in this new setting. Hence, we prove in Theorem 3.2 the equivalent of [[1, Theorem 2.1.1]] in ... See full document

... Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in ...of operators in Banach spaces and obtained a lot of interesting and important ...new existence and ... See full document

... Mixed monotone operator is an important nonlinear ...of mixed monotone operators in partially ordered Banach spaces requires compactness, continuity or concavity-convexity of the ...new ... See full document

... the operators A, B in ...the operators A, B in (.) are mixed monotone and increasing α-concave (or sub- homogeneous), ...fixed point theo- rem for increasing general α-concave ... See full document

... fixed point theorems for mixed monotone operators with ...the existence of a unique positive solution, but also be applied to construct an iterative scheme for approximating ... See full document