Fixed-Point Theorems
Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications
... Fixed-point theory in FM-spaces for different contractive-type mappings is closely related to that in PM-spaces (refer [7, 21, 32, 44]. Various mathematicians; for example, Hadˇ zi´ c and Pap [22], Razani ...
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On Fixed Point Theorems for Multivalued Contractions
... of fixed points for the multivalued contractions are ...few fixed point theorems due to ´ Ciri´c 2009 Feng and Liu 2006 and Klim and Wardowski ...
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Extensions of Minimization Theorems and Fixed Point Theorems on a Quasimetric Space
... In this paper, we introduce the new concepts of e-distance, e-type mapping with respect to some e-distance and S-complete quasimetric space, and prove minimization theorems, fixed point ...
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Remarks on Recent Fixed Point Theorems
... 2.1. Fixed point theorems for nonexpansive maps due to Browder 10, 11 and G ¨ohde 12 have been generalized in 6 ...multivalued fixed point theorems due to Reich 16, Iseki 17, ...
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Coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy metric space
... etc. Fixed point theorems, involving four self-maps, began with the assumption that they are ...coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy ...
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Coupled Fixed Point Theorems on Bipolar Metric Spaces
... The notion of metric space has many generalizations in literature. One of the most recent of them is bipolar metric space which is introduced by Mutlu and G¨ urdal [13] in 2016. Also, they established some fixed ...
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On Fixed Point Theorems and their Applications (
... he fixed point theorems concern maps f of a set X into itself that, under certain conditions, admit a fixed point, that is, a point x ∈ X such that f(x) = ...of fixed ...
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Impact of Common Property (E.A.) on Fixed Point Theorems in Fuzzy Metric Spaces
... We observe that the notion of common property E.A. relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates. As a consequence, a ...
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Best proximity point theorems via fixed point theorems for multivalued mappings
... Fernández-León (J. Nonlinear Convex Anal. 15(2):313-324, 2014) can be regarded as a fixed point theorem for multivalued mappings which is modified as regards the results of Mizoguchi and Takahashi (J. Math. Anal. ...
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Fixed Point Theorems for Middle Point Linear Operators in
... We remark that Theorem 4.5 is optimal as Example 4.7 shows that the assumption of middle point linearity on T cannot be avoided, even when K is assumed to be weakly compact. We also present several examples, ...
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Fixed point and coupled fixed point theorems on b metric like spaces
... We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a ...
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On Fixed Point Theorems and Their Applications (
... ( ' ) k ∈ L 1 (α, β)). Then there exists a unique solution x ∈ C 1 (I,X) to the Cauchy problem 3.2, for every I ⊂ (α, β). proof :Proceed like in the proof of Theorem 3.3, taking now Z = C(I,X).When f is merely continuous ...
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Some applications of fixed point theorems
... Proof. Given that f : C → R n is a continuous function, and P : R n → C is continuous best approximation operator. Then Po f : C → C is a continuous function since f and P both are continuous. Thus Po f : C → C has a ...
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Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping
... We introduce a new nonlinear mapping similar to the nonspreading mapping which is defined by Kohsaka and Takahashi (Arch. Math. 91:166-177, 2008). We prove fixed point theorems for such a mapping without the ...
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13. Remarks on coupled fixed point theorems in partially ordered metric spaces
... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...coupled fixed ...
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Fixed point theorems for φ contractions
... fixed point theory has rapidly been evolving, not only in metric structure but also in many different generalized spaces and the b-metric space is one of ...fixed point theory for single valued and multivalued ...
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Fixed point theorems in spaces and -trees
... a fixed point if there exists p ∈ U such that x / ∈ [p, f (x)) for all x ∈ ∂U ...the fixed point property for continuous ...classical fixed edge theorem in graph ...
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Common fixed point theorems and applications
... By setting px, y px in Theorem 3.5, we have the following: COROLLARY :}.6 Let X,.T’ be a probabilistic quasi-metric space and let S and T be two commuting self-mappings of X.. If these c[r] ...
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Dislocated metric and fixed point theorems
... The author is obliged to Pascal Hitzler and Anthony Karel Seda for their old idea of dislocated metric (thankfully known to the referee), which is identical to the ‘new’ concept of near metric. That is why the former ...
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Edelstein type fixed point theorems
... fixed point theory is being investigated increasingly by reason of the fact that it has a wide range of applications in fields such as economics (see ...pioneering theorems in this direction is the Banach ...
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