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[PDF] Top 20 An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

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An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

... minihedral cone if sup{x, y} exists for all x, y ∈ E, and strongly minihedral if every subset of E which is bounded from above has a supremum ...a cone metric space, cone P is strongly ... See full document

8

On set-valued contractions of Nadler type in tυs-G-cone metric spaces

On set-valued contractions of Nadler type in tυs-G-cone metric spaces

... convex cone if P + P ⊆ P and lP ⊆ P for l ≥ 0. A convex cone P is said to be pointed (or proper) if P ∩ (-P) = {θ}; P is normal (or saturated) if E has a base of neighborhoods of zero consisting of ... See full document

8

Fixed points of set-valued Caristi-type mappings on semi-metric spaces via partial order relations

Fixed points of set-valued Caristi-type mappings on semi-metric spaces via partial order relations

... complete metric space, let ϕ : X → (–∞, +∞) be a bounded below functional, let η : [, + ∞ ) → [, + ∞ ) be a nondecreasing function with η – ( {  } ) = {  } , and let be a partial order on X such that ... See full document

11

Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces with No Metric Convexity

Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces with No Metric Convexity

... of fixed points and convergence of iterates were ...CAT0 spaces in order to obtain such ...convex metric spaces under mild conditions on the modulus of ...of fixed ... See full document

16

Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances

Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances

... in cone uniform and cone locally convex spaces; is new even in cone metric and metric spaces; and is different from those given in the previous publications on this ... See full document

15

Common Fixed Point Theorems in TVS-Valued Cone Metric Spaces

Common Fixed Point Theorems in TVS-Valued Cone Metric Spaces

... of metric space by replacing the set of real numbers by ordered Banach space and defined cone metric space and extended Banach type fixed point theorems for contractive type ...of ... See full document

5

Approximate Endpoints for Set-Valued Contractions in Metric Spaces

Approximate Endpoints for Set-Valued Contractions in Metric Spaces

... approximate fixed points and approximate endpoints of the multivalued almost I-contractions is ...approximate fixed points and approximate endpoints for multivalued almost ... See full document

13

Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings

Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings

... of set-valued nonexpansive mappings in the presence of errors and possibly inaccurate ...given set-valued ...approximating fixed points of closed-valued strict ... See full document

10

Common Fixed Points for Maps on Topological Vector Space Valued
Cone Metric Spaces

Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces

... of metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a ... See full document

8

Some new fixed point theorems for set-valued contractions in complete metric spaces

Some new fixed point theorems for set-valued contractions in complete metric spaces

... bounded subsets of X by CB(X). The existence of fixed points for various multi-valued contractive mappings had been studied by many authors under different ...below fixed point theorem ... See full document

8

Fixed point theorems for set-valued mappings on TVS-cone metric spaces

Fixed point theorems for set-valued mappings on TVS-cone metric spaces

... A cone is a nonempty closed subset P of E such that P ∩ (–P) = { θ } and for each λ ≥ , λP +P ⊆ ...a cone P of E, a partial order is defined on E as x y, if and only if y–x ∈ ...a cone of E ... See full document

7

Fixed points for modified fuzzy ψ-contractive set-valued mappings in fuzzy metric spaces

Fixed points for modified fuzzy ψ-contractive set-valued mappings in fuzzy metric spaces

... In metric fixed-point theory, the contractive conditions on underlying functions play an important role for ensuring the existence of fixed ...in metric fixed-point ...fuzzy metric spaces in some ... See full document

11

Common fixed points for two set-valued mappings on metric spaces

Common fixed points for two set-valued mappings on metric spaces

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

12

A fixed point theorem for set-valued quasi-contractions in b-metric spaces

A fixed point theorem for set-valued quasi-contractions in b-metric spaces

... of fixed points for multi-valued contraction maps using the Hausdorff metric was initiated by Nadler [3] in 1969, who extended the Banach contraction prin- ciple to set-valued ... See full document

8

Fixed Points Results via Iterates of Four Maps in TVS-valued Cone Metric Spaces

Fixed Points Results via Iterates of Four Maps in TVS-valued Cone Metric Spaces

... PRELIMINARIES Fixed point theorems are very important tools for providing evidence of the existence and uniqueness of solutions to various mathematical models ...discover fixed points of self and ... See full document

5

3. Fixed point theorems in $N$-polygonal cone metric spaces

3. Fixed point theorems in $N$-polygonal cone metric spaces

... rectangular cone metric space ([2] and [16]), we unify various results deal with generalizations of the Banach’s Contraction Prin- ...S-Hardy-Rogers cone contraction following some ideas from ... See full document

14

Fixed points of (ψ,ϕ) contractions on rectangular metric spaces

Fixed points of (ψ,ϕ) contractions on rectangular metric spaces

... fixed points of a general class of ( ψ , φ ) contractive mappings on complete rectangular metric spaces are ...Samet. Fixed points of ( ψ , φ ) contractions under conditions ... See full document

12

Fixed and coupled fixed points of a new type set-valued contractive mappings in complete metric spaces

Fixed and coupled fixed points of a new type set-valued contractive mappings in complete metric spaces

... Recently, Wardowski [] introduced a new concept of contraction and proved a fixed point theorem which generalizes the Banach contraction principle in a different way than in the known results from the literature. In this ... See full document

7

Multivalued fixed point theorems in tvs-cone metric spaces

Multivalued fixed point theorems in tvs-cone metric spaces

... The main difference between contraction and Kannan mappings is that contractions are always continuous, whereas Kannan mappings are not necessarily continuous. Another type of contractive condition, due to ... See full document

13

Some New Weakly Contractive Type Multimaps and Fixed Point Results in Metric Spaces

Some New Weakly Contractive Type Multimaps and Fixed Point Results in Metric Spaces

... b Theorem 2.1 contains Theorem 2.2 of Pathak and Shahzad 9 as a special case. c Corollary 2.2 extends and generalizes Theorem 3.3 of Latif and Albar 8. We have also the following fixed point result which ... See full document

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