EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS
الموضوعات : فصلنامه ریاضیodwin Amechi Okeke 1 , Johnson O Olaleru 2
1 - Department of Mathematics, University of Lagos, Nigeria
Nigeria
Lecturer,Department of Mathematics,University of Lagos,Nigeria.
2 - Department of Mathematics, University of Lagos, Nigeria.
Professor,Department of Mathematics,University of Lagos,Nigeria.
الکلمات المفتاحية: fixed point, generalized $\Phi$-pseudocontractive mappings in the intermediate sense, Banach spaces,
ملخص المقالة :
In this study, we introduce the classes of $\phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $\Phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $\Phi$-pseudocontractive mappings, Nonlinear Analysis 70 (2009) 2277-2279].
