Results 51 to 60 of about 4,283,483 (109)

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

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

Fixed Point and Common Fixed Point Theorem for Expansive Mapping in Fuzzy Metric Space [PDF]

, 2017
In this paper, we have endeavored to establish fixed point and common fixed theorem forexpansive mapping in fuzzy metric space.Keywords: Fixed Point, Fixed Point Theorem, Metric Space, Fuzzy Metric Space, ExpansiveMappings.AMS Subject Classification ...
Tiwari, Pankaj
core   +1 more source

On Almost (α, θρ)‐Contractions on Quasimetric Space and Their Fixed Points

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce the concept of almost (α, θρ)‐contraction mappings on quasimetric spaces. Then, under certain conditions, we present some fixed‐point results for almost (α, θρ)‐contraction mappings with respect to ω and γ on both left K‐complete and left M‐complete quasimetric spaces.
Gonca Durmaz Güngör, Seda Üçüncüoğlu, Murat Olgun, Ishak Altun, Pramita Mishra   +4 more
wiley   +1 more source

Fixed point theory in admissible acyclic dominated spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper we present Lefschetz type fixed point theorems for maps defined on admissible acyclic dominated spaces.
O’Regan Donal
doaj   +1 more source

Coincidence theorems and minimax inequalities in abstract convex spaces [PDF]

, 2011
In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky
Mohsen Rostamian Delavar, Mohsen Delavar, Seyed Asghar Mohammadzadeh, Seyed Mohammadzadeh, Yeol Je Cho, Mehdi Roohi   +5 more
core   +1 more source

Fixed point theorems for generalized contraction mappings on b-rectangular metric spaces [PDF]

, 2017
In the present article, we study some fixed point theorems for a hybrid class of generalized contractive operators in the context of b-rectangular metric spaces.
ALECSA, Cristian Daniel
core   +1 more source

Fixed Point Result in Probabilistic Metric Space [PDF]

, 2013
In this paper we prove common fixed point theorem for four mapping with weak compatibility in probabilistic metric space. Keywords: Menger space, Weak compatible mapping, Semi-compatible mapping, Weakly commuting mapping, common fixed point.
Mehta, Smriti, Singh, Ruchi, Singh, A D
core   +1 more source

Common fixed points of R-weakly commuting maps in generalized metric spaces [PDF]

, 2011
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Mujahid Abbas, Talat Nazir, Safeer Khan, Safeer Hussain Khan   +3 more
core   +1 more source