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Article
Nonconvex Equilibrium Problems Via a KKM Theorem
In this paper, we establish existence results for vector equilibrium problems without convexity assumptions on the whole domain, but just on the closure of a quasi-self-segment-dense subset. In the absence of ...
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Article
Strong Convergence of Regularized New Proximal Point Algorithms
We consider the regularization of two proximal point algorithms (PPA) with errors for a maximal monotone operator in a real Hilbert space, previously studied, respectively, by Xu, and by Boikanyo and Morosanu,...
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Article
Strong Convergence of Two Proximal Point Algorithms with Possible Unbounded Error Sequences
We consider a proximal point algorithm with errors for a maximal monotone operator in a real Hilbert space, previously studied by Boikanyo and Morosanu, where they assumed that the zero set of the operator is ...
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Article
Locally Densely Defined Equilibrium Problems
In this paper, by an approach, which is based on a notion of sequentially sign property for bifunctions, we establish existence results for equilibrium problems in the setting of Hausdorff locally convex topol...
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Article
Open AccessCommon endpoints of generalized weak contractive map**s via separation theorem with applications
In this paper, first, we give the separation theorem which is an extension of the separation theorem due to Jachymski and Jóźwik (J. Math. Anal. Appl. 300:147-159, 2004). Then, by using this and the related re...
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Article
Extremal values of augmented eccentric connectivity index of V-phenylenic nanotorus
A topological index of a molecular graph G is a numeric quantity related to G which is invariant under symmetry properties of G. Let G be a molecular graph. The augmented eccentric connectivity index, ξ ...
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Article
On Olaleru’s open problem on Gregus fixed point theorem
Let (X, d) be a complete metric space and \({TX \longrightarrow X }\) be a map** with the property d(Tx, Ty) ≤ ad(x
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Article
Fixed point theory for cyclic generalized \({(\varphi-\phi)}\) -contraction map**s
Fixed point results are presented for cyclic generalized \({(\phi-\varphi)}\) -contraction map**s on complete metric...
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Article
A simple proof of Olatinwo’s theorems
In this paper we provide a simple proof of the existence coupled fixed point theorem in complete cone metric spaces due to Sabetghadam et al. (Fixed Point Theory Appl 2009:8, 2009) and due to Olatinwo (Annali Del...
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Article
Open AccessA fixed point of generalized T F -contraction map**s in cone metric spaces
In this paper, the existence of a fixed point for T F -contractive map**s on complete metric spaces and cone metric spaces is proved, where T : X → X is a one to one and close...
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Article
Open AccessA Counterexample to "An Extension of Gregus Fixed Point Theorem"
In the paper by Olaleru and Akewe (2007), the authors tried to generalize Gregus fixed point theorem. In this paper we give a counterexample on their main statement.
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Article
Open AccessOn The Fixed-Point Property of Unital Uniformly Closed Subalgebras of
Let be a compact Hausdorff topological space and let and ...
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Article
Open AccessCommon Fixed Point of Multivalued Generalized -Weak Contractive Map**s
Fixed point and coincidence results are presented for multivalued generalized -weak contractive map**s on complete metric spaces, wher...
