Results 51 to 60 of about 436 (169)

Some Fixed Point Theorems in Metric Space by using Altering Distance function [PDF]

, 2013
In this paper we prove some fixed point theorem in metric space by using altering distance function. AMS Subject Classification: 47H10, 54H25.
Tiwari, Ankur, Wadkar, Balaji. R., Singh, Basant Kumar, Bhardwaj, Ramakant   +3 more
core  

Nonlinear Fractional Integrodifferential Equations via Fixed Point Theory in α, β‐Extended Partial b‐Metric Spaces

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Generalized metric spaces provide a useful framework for studying fixed point problems in nonlinear equations when the standard metric structure is too restrictive. The two‐control formulation studied here allows pair‐dependent coefficients together with nonzero self‐distances.
Rahim Shah, Mahnoor Amjad, Hajra Imtiaz Abbasi, Edrisa Jawo, Rashid Jan, Bilel Selmi   +5 more
wiley   +1 more source

Fixed point Results with Soft G- Metrc spaces [PDF]

, 2018
In the present paper, we prove fixed point results of mapping defined on soft G-metric space. Keywords: - Soft set, soft G-metric space, fixed point.
Shrivastava, Rajesh, Garg, Sunil, Khare, Swati   +2 more
core  

Fixed Point Results for Coupled Large Kannan Contraction Using W‐Distance and Its Application to Integral Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the present paper, we employ the notion of w‐distance to prove a large Kannan‐type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty‐type control function, we derive fixed point results in metric spaces with and without partial order.
Priyam Chakraborty, Binayak S. Choudhury, Amaresh Kundu, Santosh Kumar, Ljubisa Kocinac   +4 more
wiley   +1 more source

Alternative principles and their applications

Kakutani map, Fixed point, Matching theorem, Analytic alternative, Minimax inequality, 54H25, 54C60, 49J35, 52A07,
Mircea Balaj
core   +1 more source

The Jaggi– and Das–Gupta–Type Almost Contractions in Double Controlled Metric Space Endowed With a Binary Relation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduced new notions of almost Jaggi– and Das–Gupta–type contractions in double controlled metric space endowed with binary relation. Then, we shall prove fixed point theorems for the mentioned contractions. Some examples are also provided to prove the validity of our results.
Anil Jaglan, Vinod Bhatia, Pankaj Kumar, Sina Etemad, Smritijit Sen   +4 more
wiley   +1 more source

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

Fixed Point Theory and Applications, 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.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj  

An Extended Almost Weak Contraction in Relational Metric Space and Applications to Nonlinear Matrix Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This manuscript investigates certain fixed point outcomes for an extended almost weak contraction map in a metric space equipped with a locally transitive binary relation. The insights achieved here improve, broaden, solidify and advance a number of noteworthy findings.
Doaa Filali, Esmail Alshaban, Adel Alatawi, Bassam Z. Albalawi, Fahad M. Alamrani, Faizan Ahmad Khan, Smritijit Sen   +6 more
wiley   +1 more source

Coupled Fixed Point Theorem in Partially Ordered Metric Spaces [PDF]

, 2013
The present paper deals with some Coupled fixed point theorem for mapping having mixed monotone property in Partially Ordered Metric space. AMS Subject Classification: 47H10, 54H25.
Tiwari, Ankur, Wadkar, B R, Singh, Basant Kumar, Bhardwaj, Ramakant   +3 more
core  

A Study on Fixed‐Point Theory and Topological Structures Involving ϖb‐Distance on θ‐Complete Metric‐Type Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce a family of topologies τp on metric‐type spaces (MTSs) using powers of the ϖb‐distance. Moreover, we investigate fundamental topological properties, including convergence, closed sets, Cauchy sequences, and Hausdorffness, showing how varying p > 0 affects these properties.
Ahad Hamoud Alotaibi, Huda Al-Malki, Smritijit Sen   +2 more
wiley   +1 more source