Results 1 to 10 of about 2,648,949 (108)

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

Fixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi, Samet Bessem, Ćirić Ljubomir   +2 more
doaj   +2 more sources

Fixed point results for contractions involving generalized altering distances in ordered metric spaces

Fixed Point Theory and Applications, 2011
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj   +2 more sources

𝑚th roots of the identity operator and the geometry conjecture [PDF]

, 2021
In this paper, we give three different new proofs of the validity of the geometry conjecture about cycles of projections onto nonempty closed, convex subsets of a Hilbert space.
S. Simons
semanticscholar   +1 more source

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and ...
Dhawan Kanika, Vats Ramesh Kumar, Agarwal Ravi P.   +2 more
doaj   +1 more source

Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras

Demonstratio Mathematica, 2023
In this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension
Nezhad Akbar Dehghan, Paunovic Marija, Savic Ana, Radenović Stojan   +3 more
doaj   +1 more source

Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
This paper presents the topological transversality coincidence theorem for general multivalued maps who have selections in a given class of maps.
O’Regan Donal
doaj   +1 more source

Firmly nonexpansive mappings in classes of geodesic spaces [PDF]

, 2012
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators.
David Ariza-Ruiz, Laurentiu Leustean, Genaro López-Acedo   +2 more
semanticscholar   +1 more source

Some fixed point results on Ultrametric Space

Topological Algebra and its Applications, 2022
The present paper deals with new fixed point theorems by means of F−contraction. The results are present in spherically complete ultrametric space for single valued rational type mappings.
Acar Özlem
doaj   +1 more source

Collectively Fixed Point Theory in the Compact and Coercive Cases

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
We present collectively fixed point results for multivalued maps which automatically generate analytic alternatives and minimax inequalities. As an application we consider equilbrium type problems for generalized games.
O’Regan Donal
doaj   +1 more source

A new solution to the Rhoades’ open problem with an application

Acta Universitatis Sapientiae: Mathematica, 2021
We give a new solution to the Rhoades’ open problem on the discontinuity at fixed point via the notion of an S-metric. To do this, we develop a new technique by means of the notion of a Zamfirescu mapping.
Özgür Nihal, Taş Nihal
doaj   +1 more source