Results 41 to 50 of about 89 (84)

A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj   +1 more source

A note on common fixed point theorem in Hilbert Space

, 2010
In this paper the authors studied the problem of Sayyed and Badshah8 and prove common fixed point theorem in Hilbert Space. In recent years Rashwan and Sadik5, Malnge3, Berinde1, Rashwan4, Song and Chen11, Cric, Ume and Khan2 have studied the convergence
Hema Yadav, V. H. Badshah, Shoyeb Ali Sayyed   +2 more
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An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

Journal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad, Mohammed Shehu Shagari, Maha Noorwali, Abba Ali Tijjani, Afis Saliu, Pramita Mishra   +5 more
wiley   +1 more source

New Common Fixed Point Results in Ultrametric Spaces Utilizing Various Contractions and Their Applications to Integral Equations

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study explores fixed points and common fixed points for self‐mappings on ultrametric spaces, regardless of the assumption of spherical completeness. By presenting generalized contractive conditions based on the p‐adic contraction, we extend classical fixed point results and illustrate their practical use through meticulously crafted examples.
N. Uthirasamy, Balaanandhan Radhakrishnan, Kandhasamy Tamilvanan, Uma Jayaraman, Masho Jima Kabeto, Guotao Wang   +5 more
wiley   +1 more source

Generalized Fixed Point Theorems for Compatible Mapping in Fuzzy 2-Metric Space for Integral Type Mapping [PDF]

, 2013
In this paper, we give some new definitions of compatible mappings of types (I) and  (II) in fuzzy-2 metric space and prove some common  fixed point theorems  for four mappings under the condition of compatible mappings of types (I) and (II) in complete ...
Patel, Rasik M., Bhardwaj, Ramakant
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Interpolative contractions on perturbed metric spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In the present paper, we propose a new notion, namely, the interpolative contractions in the context of the perturbed metric spaces. For these mappings, we give a fixed-point result and provide an example to support the advances brought by the new ...
Karapınar Erdal, Păcurar Cristina Maria, Shahi Priya   +2 more
doaj   +1 more source

An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and
Petruşel Adrian, Sahu D.R., Sagar Vidya
doaj   +1 more source

Fixed‐Point Result for Generalized Enriched Contractions With Applications in Cantilever Beam Problem and Homotopy Theory

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti, Shivam Rawat, Mohammad Sajid, R. C. Dimri, Pramita Mishra   +4 more
wiley   +1 more source

Some Fixed Point Theorems for Kannan Mappings [PDF]

, 2010
2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete ...
Narang, T. D., Tejpal, Shavetambry
core  

A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.
Petre Ioan-Radu
doaj   +1 more source