[PDF] Top 20 Maximal and minimal point theorems and Caristi's fixed point theorem
Has 10000 "Maximal and minimal point theorems and Caristi's fixed point theorem" found on our website. Below are the top 20 most common "Maximal and minimal point theorems and Caristi's fixed point theorem".
Maximal and minimal point theorems and Caristi's fixed point theorem
... Corollary 1. Let (X, d) be a complete metric space and the relationship ≼ defined by (1) be a partial order on X. Let T : X ® X be a Caristi-type mapping and be a lower semicontinuous and bounded below function. ... See full document
6
Fixed Points of Discontinuous Multivalued Operators in Ordered Spaces with Applications
... 13 S. Chang and Y. Ma, “Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming,” ... See full document
13
Some fixed point theorems and common fixed point theorem in log-convex structure
... of S, mapped into itself by T . Also, assume that M be the minimal element of Γ with respect to being nonempty bounded closed and log-convex and invariant under T ... See full document
6
Equivalent Extensions to Caristi-Kirk's Fixed Point Theorem, Ekeland's Variational Principle, and Takahashi's Minimization Theorem
... minimization theorem 7, Theorem 1, and two results about weak sharp minima and error bounds 8, Theorems ...Phelps theorem see ...Caristi’s fixed point theorem, and ... See full document
20
Applications of Caristi's fixed point results
... as Caristi ’ s fixed point ...decades, Caristi ’ s fixed point theorem has been generalized and extended in several directions (see, [1,2] and references ... See full document
12
Pseudo-metric space and fixed point theorem
... Hence, the aim of this paper is to generalize some of the well-known fixed point the- orems [, –] for a pseudo-metric space X. This paper is divided into three sections after showing some basic results in ... See full document
18
Vectorial Form of Ekeland-Type Variational Principle in Locally Convex Spaces and Its Applications
... drop theorem Theorem ...vectorial Caristi-Kirk’s fixed-point theorem and vectorial Takahashi’s nonconvex minimization theorem are ... See full document
15
The Existence of Maximal and Minimal Solution of Quadratic Integral Equation
... Theorem 2 (Tychonoff Fixed Point Theorem) [12]: suppose B is a complete, locally convex linear space and S is a closed convex subset of ... See full document
5
Fixed point theorems for set valued Caristi type mappings in locally convex space
... Isac’s fixed point ...common fixed and critical points for two set valued maps in locally convex ...common fixed point theorem in probabilistic normed ...Isac’s fixed ... See full document
12
Some fixed point theorems for contractive multi-valued mappings induced by generalized distance in metric spaces
... important theorems such as Caristi’s fixed point theorem, Ekeland’s variational principle and the nonconvex minimization ...on fixed point problems and also showed that the class ... See full document
10
Krasnosel'skii-Type Fixed-Set Results
... Krasnosel’skii-type fixed-set theorems for the sum S T , where S is a multimap and T is a ...of S and T is not ...several fixed-point and fixed-set results ... See full document
9
20. Triple fixed points in ordered metric spaces
... Theorem 2.1. Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Suppose T : X → X is an ICS mapping and F : X 3 → X is such that F has the mixed ... See full document
11
Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications
... In this paper, we obtain the existence and uniqueness of the solution for three self mappings in a complete bipolar metric space under a new Caristi type contraction with an example. We also provide applications ... See full document
13
Compatible Maps and Some Common Fixed Point Results in G-Metric Space
... common fixed point theorem for commuting map- pings,which generalizes the Banach Contraction ...some fixed point theorems in complete metric ...common fixed point ... See full document
12
Two fixed point theorems for mappings satisfying a general contractive condition of integral type
... 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
7
Some applications via common quadruple fixed point theorems in G-metric spaces
... Since H(., 0) has a quadruple fixed point in U 4 , we have that (0, 0, 0, 0) ∈ X 4 . So that X is non- empty set. Now we show that X is both closed and open in [0, 1] and hence by the connectedness X = [0, ... See full document
30
Some applications of Caristi’s fixed point theorem in metric spaces
... Mathematical optimization is one of the fields in which the methods of fixed point theory are widely used. It is well known that dynamic programming provides useful tools for mathematical optimization and computer ... See full document
10
Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
... Recall that a subset C of a metric space X is said to be uniquely proximinal if each point x ∈ X has a unique nearest point in C. A convex metric space X is said to have property (C) if every decreasing ... See full document
9
Generalized Meir-Keeler Type ψ-Contractive Mappings and Applications to Common Solution of Integral Equations
... common fixed point theorems for such contractions using weakly increasing property instead of mixed monotone ...our theorems are derived besides furnishing an ... See full document
13
A Kirk Type Characterization of Completeness for Partial Metric Spaces
... 19 S. J. O’Neill, “Partial metrics, valuations, and domain theory,” in Proceedings of the 11th Summer Conference on General Topology and Applications (Gorham, ME, 1995), vol. 806 of Annals of the New York Academy ... See full document
6
Related subjects