Applications of fixed-point theorem : extending classical results to modern frameworks / Anita Tomar, Manish Jain, editors.

Format:

Book

Contributor:

Tomar, Anita, editor.

Jain, Manish (Assistant professor of mathematics), editor.

Series:

Industrial and applied mathematics 2364-6845

Industrial and applied mathematics, 2364-6845

Language:

English

Subjects (All):

Fixed point theory.

Physical Description:

1 online resource (viii, 348 pages) : illustrations.

Place of Publication:

Singapore : Springer, [2026]

Summary:

This contributed volume contains chapters on various fixed-point theorems, including those in metric, b-metric and partial metric spaces. The book addresses the need for rigorous analytical methods in optimization, computational mathematics and applied sciences. By offering innovative solutions through iterative schemes and contraction principles, it bridges the gap between abstract mathematical principles and practical problem-solving approaches. The concept of fixed points has deep mathematical significance, influencing both theoretical frameworks and real-world applications. The book highlights the applications of fixed-point theory, presenting fundamental concepts and modern advancements, in diverse fields such as traffic control systems, stock market analysis, iterative algorithms and differential equations.

Contents:

Probabilistic contraction result involving functionals in Menger space and heat equation / Samir Kumar Bhandari, Pulak Konar, Rabha W. Ibrahim, and Anita Tomar

Common fixed point theorems of Ćirić-type weak contractions in cone b-metric spaces with an application / Santosh Kumar and Pauline Shashi

Fixed points of closed graph operators on partial metric spaces / G. Siva

Some common fixed point theorems for Hardy–Rogers-type contraction in complete cone b-metric spaces / Santosh Kumar and Emmanuel Kapinga

Generalized weak integral contractive condition with an application / Dinesh Rani Bansal, Kavita, Sanjay Kumar, and Manish Jain

Advancements in the Banach contraction principle within metric spaces / Sanjay Kumar, Kavita, Manish Jain, and Rajesh Kumar

Admissible mappings with implicit relations in metric spaces / Kavita, Sanjay Kumar, Manish Jain, and Sushma Devi

New fixed-point results with hybrid-interpolative Reich–Istratescu-type contractions on S-metric spaces / Hande Poşul, Elif Kaplan, and Nihal Taş

On fixed points of (αqsp, βqsp)-φ-hybrid contraction in b-metric spaces / Loitongbam Melei Singh and Yumnam Rohen

Best proximity points theorems of generalized αφψ-proximal contractive mappings with applications / Solomon Zerfu Degefa, Mujahid Abbas, Vizender Singh, and Yohannes Gebru Aemro

Applications of fixed points for delay fractional differential equations and inclusions involving fractional operators / Ahsan Abbas, Akbar Azam, and Nayyar Mehmood

Stability of logarithmic and generalized logarithmic set-valued functional equations / Sudheer Petwal, Anita Tomar, and Meena Joshi.

Notes:

Online resource; title from PDF title page (Springer Nature Link, viewed April 27, 2026).

ISBN:

9789819551606

9819551609

OCLC:

1586637012

Access Restriction:

Restricted for use by site license